10=-1.5x^2+120

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Solution for 10=-1.5x^2+120 equation:


Simplifying
10 = -1.5x2 + 120

Reorder the terms:
10 = 120 + -1.5x2

Solving
10 = 120 + -1.5x2

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '1.5x2' to each side of the equation.
10 + 1.5x2 = 120 + -1.5x2 + 1.5x2

Combine like terms: -1.5x2 + 1.5x2 = 0.0
10 + 1.5x2 = 120 + 0.0
10 + 1.5x2 = 120

Add '-10' to each side of the equation.
10 + -10 + 1.5x2 = 120 + -10

Combine like terms: 10 + -10 = 0
0 + 1.5x2 = 120 + -10
1.5x2 = 120 + -10

Combine like terms: 120 + -10 = 110
1.5x2 = 110

Divide each side by '1.5'.
x2 = 73.33333333

Simplifying
x2 = 73.33333333

Take the square root of each side:
x = {-8.563488386, 8.563488386}

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