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Simplifying
x2 + 3x + -90 = 3x + -8
Reorder the terms:
-90 + 3x + x2 = 3x + -8
Reorder the terms:
-90 + 3x + x2 = -8 + 3x
Add '-3x' to each side of the equation.
-90 + 3x + -3x + x2 = -8 + 3x + -3x
Combine like terms: 3x + -3x = 0
-90 + 0 + x2 = -8 + 3x + -3x
-90 + x2 = -8 + 3x + -3x
Combine like terms: 3x + -3x = 0
-90 + x2 = -8 + 0
-90 + x2 = -8
Solving
-90 + x2 = -8
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '90' to each side of the equation.
-90 + 90 + x2 = -8 + 90
Combine like terms: -90 + 90 = 0
0 + x2 = -8 + 90
x2 = -8 + 90
Combine like terms: -8 + 90 = 82
x2 = 82
Simplifying
x2 = 82
Take the square root of each side:
x = {-9.055385138, 9.055385138}
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