x(2x-9)=-15+4x

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Solution for x(2x-9)=-15+4x equation: 


Simplifying
x(2x + -9) = -15 + 4x

Reorder the terms:
x(-9 + 2x) = -15 + 4x
(-9 * x + 2x * x) = -15 + 4x
(-9x + 2x2) = -15 + 4x

Solving
-9x + 2x2 = -15 + 4x

Solving for variable 'x'.

Reorder the terms:
15 + -9x + -4x + 2x2 = -15 + 4x + 15 + -4x

Combine like terms: -9x + -4x = -13x
15 + -13x + 2x2 = -15 + 4x + 15 + -4x

Reorder the terms:
15 + -13x + 2x2 = -15 + 15 + 4x + -4x

Combine like terms: -15 + 15 = 0
15 + -13x + 2x2 = 0 + 4x + -4x
15 + -13x + 2x2 = 4x + -4x

Combine like terms: 4x + -4x = 0
15 + -13x + 2x2 = 0

Factor a trinomial.
(3 + -2x)(5 + -1x) = 0


Subproblem 1
Set the factor '(3 + -2x)' equal to zero and attempt to solve:

Simplifying
3 + -2x = 0

Solving
3 + -2x = 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 + -2x = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -2x = 0 + -3
-2x = 0 + -3

Combine like terms: 0 + -3 = -3
-2x = -3

Divide each side by '-2'.
x = 1.5

Simplifying
x = 1.5

Subproblem 2
Set the factor '(5 + -1x)' equal to zero and attempt to solve:

Simplifying
5 + -1x = 0

Solving
5 + -1x = 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 + -1x = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -1x = 0 + -5
-1x = 0 + -5

Combine like terms: 0 + -5 = -5
-1x = -5

Divide each side by '-1'.
x = 5

Simplifying
x = 5
Solution
x = {1.5, 5}

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