Solve 1.5^2+3/2*(-1.5)+1=0

$${ 1.5 }^{ 2 } + \frac{ 3 }{ 2 } \times (-1.5)+1=0$$

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Solution Steps

Calculate 1.5 to the power of 2 and get 2.25.

$$2.25+\frac{3}{2}\left(-1.5\right)+1=0$$

Convert decimal number -1.5 to fraction -\frac{15}{10}. Reduce the fraction -\frac{15}{10} to lowest terms by extracting and canceling out 5.

$$2.25+\frac{3}{2}\left(-\frac{3}{2}\right)+1=0$$

Multiply \frac{3}{2} times -\frac{3}{2} by multiplying numerator times numerator and denominator times denominator.

$$2.25+\frac{3\left(-3\right)}{2\times 2}+1=0$$

Do the multiplications in the fraction \frac{3\left(-3\right)}{2\times 2}.

$$2.25+\frac{-9}{4}+1=0$$

Fraction \frac{-9}{4} can be rewritten as -\frac{9}{4} by extracting the negative sign.

$$2.25-\frac{9}{4}+1=0$$

Subtract \frac{9}{4} from 2.25 to get 0.

$$1=0$$

Compare 1 and 0.

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