4x^2-4x-18=-3x

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Solution for 4x^2-4x-18=-3x equation: 


Simplifying
4x2 + -4x + -18 = -3x

Reorder the terms:
-18 + -4x + 4x2 = -3x

Solving
-18 + -4x + 4x2 = -3x

Solving for variable 'x'.

Reorder the terms:
-18 + -4x + 3x + 4x2 = -3x + 3x

Combine like terms: -4x + 3x = -1x
-18 + -1x + 4x2 = -3x + 3x

Combine like terms: -3x + 3x = 0
-18 + -1x + 4x2 = 0

Factor a trinomial.
(-2 + -1x)(9 + -4x) = 0


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

Simplifying
-2 + -1x = 0

Solving
-2 + -1x = 0

Move all terms containing x to the left, all other terms to the right.

Add '2' to each side of the equation.
-2 + 2 + -1x = 0 + 2

Combine like terms: -2 + 2 = 0
0 + -1x = 0 + 2
-1x = 0 + 2

Combine like terms: 0 + 2 = 2
-1x = 2

Divide each side by '-1'.
x = -2

Simplifying
x = -2

Subproblem 2
Set the factor '(9 + -4x)' equal to zero and attempt to solve:

Simplifying
9 + -4x = 0

Solving
9 + -4x = 0

Move all terms containing x to the left, all other terms to the right.

Add '-9' to each side of the equation.
9 + -9 + -4x = 0 + -9

Combine like terms: 9 + -9 = 0
0 + -4x = 0 + -9
-4x = 0 + -9

Combine like terms: 0 + -9 = -9
-4x = -9

Divide each side by '-4'.
x = 2.25

Simplifying
x = 2.25
Solution
x = {-2, 2.25}

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