8=19-1.5x^2

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Solution for 8=19-1.5x^2 equation:


Simplifying
8 = 19 + -1.5x2

Solving
8 = 19 + -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.
8 + 1.5x2 = 19 + -1.5x2 + 1.5x2

Combine like terms: -1.5x2 + 1.5x2 = 0.0
8 + 1.5x2 = 19 + 0.0
8 + 1.5x2 = 19

Add '-8' to each side of the equation.
8 + -8 + 1.5x2 = 19 + -8

Combine like terms: 8 + -8 = 0
0 + 1.5x2 = 19 + -8
1.5x2 = 19 + -8

Combine like terms: 19 + -8 = 11
1.5x2 = 11

Divide each side by '1.5'.
x2 = 7.333333333

Simplifying
x2 = 7.333333333

Take the square root of each side:
x = {-2.708012801, 2.708012801}

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