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Simplifying
(4x + -6) * x = 81 + -6x
Reorder the terms:
(-6 + 4x) * x = 81 + -6x
Reorder the terms for easier multiplication:
x(-6 + 4x) = 81 + -6x
(-6 * x + 4x * x) = 81 + -6x
(-6x + 4x2) = 81 + -6x
Add '6x' to each side of the equation.
-6x + 6x + 4x2 = 81 + -6x + 6x
Combine like terms: -6x + 6x = 0
0 + 4x2 = 81 + -6x + 6x
4x2 = 81 + -6x + 6x
Combine like terms: -6x + 6x = 0
4x2 = 81 + 0
4x2 = 81
Solving
4x2 = 81
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Divide each side by '4'.
x2 = 20.25
Simplifying
x2 = 20.25
Take the square root of each side:
x = {-4.5, 4.5}
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