Solve (-2-1/2)^2-225/4=27-8/4

$$( - 2 - \frac { 1 } { 2 } ) ^ { 2 } - \frac { 225 } { 4 } = \frac { 27 - 8 } { 4 }$$

Verify

Solution Steps

Multiply both sides of the equation by 4.

$$4\left(-2-\frac{1}{2}\right)^{2}-225=27-8$$

Subtract \frac{1}{2} from -2 to get -\frac{5}{2}.

$$4\left(-\frac{5}{2}\right)^{2}-225=27-8$$

Calculate -\frac{5}{2} to the power of 2 and get \frac{25}{4}.

$$4\times \frac{25}{4}-225=27-8$$

Multiply 4 and \frac{25}{4} to get 25.

$$25-225=27-8$$

Subtract 225 from 25 to get -200.

$$-200=27-8$$

Subtract 8 from 27 to get 19.

$$-200=19$$

Compare -200 and 19.

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