-5x^2=-18+9x

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Solution for -5x^2=-18+9x equation:


Simplifying
-5x2 = -18 + 9x

Solving
-5x2 = -18 + 9x

Solving for variable 'x'.

Reorder the terms:
18 + -9x + -5x2 = -18 + 9x + 18 + -9x

Reorder the terms:
18 + -9x + -5x2 = -18 + 18 + 9x + -9x

Combine like terms: -18 + 18 = 0
18 + -9x + -5x2 = 0 + 9x + -9x
18 + -9x + -5x2 = 9x + -9x

Combine like terms: 9x + -9x = 0
18 + -9x + -5x2 = 0

Factor a trinomial.
(6 + -5x)(3 + x) = 0

Subproblem 1

Set the factor '(6 + -5x)' equal to zero and attempt to solve: Simplifying 6 + -5x = 0 Solving 6 + -5x = 0 Move all terms containing x to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + -5x = 0 + -6 Combine like terms: 6 + -6 = 0 0 + -5x = 0 + -6 -5x = 0 + -6 Combine like terms: 0 + -6 = -6 -5x = -6 Divide each side by '-5'. x = 1.2 Simplifying x = 1.2

Subproblem 2

Set the factor '(3 + x)' equal to zero and attempt to solve: Simplifying 3 + x = 0 Solving 3 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + x = 0 + -3 x = 0 + -3 Combine like terms: 0 + -3 = -3 x = -3 Simplifying x = -3

Solution

x = {1.2, -3}

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