Solve 4{left(1/2right)}^2=-121/2

$$4 { \left( \frac{ 1 }{ 2 } \right) }^{ 2 } = -12 \frac{ 1 }{ 2 }$$

Verify

Solution Steps

Multiply both sides of the equation by 2.

$$8\times \left(\frac{1}{2}\right)^{2}=-\left(12\times 2+1\right)$$

Calculate \frac{1}{2} to the power of 2 and get \frac{1}{4}.

$$8\times \frac{1}{4}=-\left(12\times 2+1\right)$$

Multiply 8 and \frac{1}{4} to get \frac{8}{4}.

$$\frac{8}{4}=-\left(12\times 2+1\right)$$

Divide 8 by 4 to get 2.

$$2=-\left(12\times 2+1\right)$$

Multiply 12 and 2 to get 24.

$$2=-\left(24+1\right)$$

Add 24 and 1 to get 25.

$$2=-25$$

Compare 2 and -25.

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