4x(x-1)-6=9

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Solution for 4x(x-1)-6=9 equation: 


Simplifying
4x(x + -1) + -6 = 9

Reorder the terms:
4x(-1 + x) + -6 = 9
(-1 * 4x + x * 4x) + -6 = 9
(-4x + 4x2) + -6 = 9

Reorder the terms:
-6 + -4x + 4x2 = 9

Solving
-6 + -4x + 4x2 = 9

Solving for variable 'x'.

Reorder the terms:
-6 + -9 + -4x + 4x2 = 9 + -9

Combine like terms: -6 + -9 = -15
-15 + -4x + 4x2 = 9 + -9

Combine like terms: 9 + -9 = 0
-15 + -4x + 4x2 = 0

Factor a trinomial.
(-3 + -2x)(5 + -2x) = 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 + -2x)' equal to zero and attempt to solve:

Simplifying
5 + -2x = 0

Solving
5 + -2x = 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 + -2x = 0 + -5

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

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

Divide each side by '-2'.
x = 2.5

Simplifying
x = 2.5
Solution
x = {-1.5, 2.5}

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