Rewrite the equation as <math><mstyle displaystyle="true"><mfrac><mrow><mn>16</mn></mrow><mrow><mi>c</mi></mrow></mfrac><mo>=</mo><mi>arccos</mi><mrow><mo>(</mo><mn>90</mn><mo>)</mo></mrow></mstyle></math> .

Multiply each term by <math><mstyle displaystyle="true"><mi>c</mi></mstyle></math> and simplify.

Multiply each term in <math><mstyle displaystyle="true"><mfrac><mrow><mn>16</mn></mrow><mrow><mi>c</mi></mrow></mfrac><mo>=</mo><mi>arccos</mi><mrow><mo>(</mo><mn>90</mn><mo>)</mo></mrow></mstyle></math> by <math><mstyle displaystyle="true"><mi>c</mi></mstyle></math> .

Cancel the common factor of <math><mstyle displaystyle="true"><mi>c</mi></mstyle></math> .

Cancel the common factor.

Rewrite the expression.

Reorder factors in <math><mstyle displaystyle="true"><mi>arccos</mi><mrow><mo>(</mo><mn>90</mn><mo>)</mo></mrow><mi>c</mi></mstyle></math> .

Rewrite the equation as <math><mstyle displaystyle="true"><mi>c</mi><mi>arccos</mi><mrow><mo>(</mo><mn>90</mn><mo>)</mo></mrow><mo>=</mo><mn>16</mn></mstyle></math> .

Divide each term by <math><mstyle displaystyle="true"><mi>arccos</mi><mrow><mo>(</mo><mn>90</mn><mo>)</mo></mrow></mstyle></math> and simplify.

Divide each term in <math><mstyle displaystyle="true"><mi>c</mi><mi>arccos</mi><mrow><mo>(</mo><mn>90</mn><mo>)</mo></mrow><mo>=</mo><mn>16</mn></mstyle></math> by <math><mstyle displaystyle="true"><mi>arccos</mi><mrow><mo>(</mo><mn>90</mn><mo>)</mo></mrow></mstyle></math> .

Cancel the common factor of <math><mstyle displaystyle="true"><mi>arccos</mi><mrow><mo>(</mo><mn>90</mn><mo>)</mo></mrow></mstyle></math> .

Cancel the common factor.

Divide <math><mstyle displaystyle="true"><mi>c</mi></mstyle></math> by <math><mstyle displaystyle="true"><mn>1</mn></mstyle></math> .

Exclude the solutions that do not make <math><mstyle displaystyle="true"><mi>arccos</mi><mrow><mo>(</mo><mn>90</mn><mo>)</mo></mrow><mo>=</mo><mfrac><mrow><mn>16</mn></mrow><mrow><mi>c</mi></mrow></mfrac></mstyle></math> true.

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