-9x=2x^2-5

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


Simplifying
-9x = 2x2 + -5

Reorder the terms:
-9x = -5 + 2x2

Solving
-9x = -5 + 2x2

Solving for variable 'x'.

Reorder the terms:
5 + -9x + -2x2 = -5 + 2x2 + 5 + -2x2

Reorder the terms:
5 + -9x + -2x2 = -5 + 5 + 2x2 + -2x2

Combine like terms: -5 + 5 = 0
5 + -9x + -2x2 = 0 + 2x2 + -2x2
5 + -9x + -2x2 = 2x2 + -2x2

Combine like terms: 2x2 + -2x2 = 0
5 + -9x + -2x2 = 0

Factor a trinomial.
(1 + -2x)(5 + x) = 0

Subproblem 1

Set the factor '(1 + -2x)' equal to zero and attempt to solve: Simplifying 1 + -2x = 0 Solving 1 + -2x = 0 Move all terms containing x to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + -2x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -2x = 0 + -1 -2x = 0 + -1 Combine like terms: 0 + -1 = -1 -2x = -1 Divide each side by '-2'. x = 0.5 Simplifying x = 0.5

Subproblem 2

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

Solution

x = {0.5, -5}

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