2(4x-3)(3x-3)=

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Solution for 2(4x-3)(3x-3)= equation: 


Simplifying
2(4x + -3)(3x + -3) = 0

Reorder the terms:
2(-3 + 4x)(3x + -3) = 0

Reorder the terms:
2(-3 + 4x)(-3 + 3x) = 0

Multiply (-3 + 4x) * (-3 + 3x)
2(-3(-3 + 3x) + 4x * (-3 + 3x)) = 0
2((-3 * -3 + 3x * -3) + 4x * (-3 + 3x)) = 0
2((9 + -9x) + 4x * (-3 + 3x)) = 0
2(9 + -9x + (-3 * 4x + 3x * 4x)) = 0
2(9 + -9x + (-12x + 12x2)) = 0

Combine like terms: -9x + -12x = -21x
2(9 + -21x + 12x2) = 0
(9 * 2 + -21x * 2 + 12x2 * 2) = 0
(18 + -42x + 24x2) = 0

Solving
18 + -42x + 24x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '6'.
6(3 + -7x + 4x2) = 0

Factor a trinomial.
6((3 + -4x)(1 + -1x)) = 0

Ignore the factor 6.

Subproblem 1
Set the factor '(3 + -4x)' equal to zero and attempt to solve:

Simplifying
3 + -4x = 0

Solving
3 + -4x = 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 + -4x = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -4x = 0 + -3
-4x = 0 + -3

Combine like terms: 0 + -3 = -3
-4x = -3

Divide each side by '-4'.
x = 0.75

Simplifying
x = 0.75

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

Simplifying
1 + -1x = 0

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

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

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

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

Simplifying
x = 1
Solution
x = {0.75, 1}

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