(4x-6)(4x-5)=

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Solution for (4x-6)(4x-5)= equation: 


Simplifying
(4x + -6)(4x + -5) = 0

Reorder the terms:
(-6 + 4x)(4x + -5) = 0

Reorder the terms:
(-6 + 4x)(-5 + 4x) = 0

Multiply (-6 + 4x) * (-5 + 4x)
(-6(-5 + 4x) + 4x * (-5 + 4x)) = 0
((-5 * -6 + 4x * -6) + 4x * (-5 + 4x)) = 0
((30 + -24x) + 4x * (-5 + 4x)) = 0
(30 + -24x + (-5 * 4x + 4x * 4x)) = 0
(30 + -24x + (-20x + 16x2)) = 0

Combine like terms: -24x + -20x = -44x
(30 + -44x + 16x2) = 0

Solving
30 + -44x + 16x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2'.
2(15 + -22x + 8x2) = 0

Factor a trinomial.
2((5 + -4x)(3 + -2x)) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(5 + -4x)' equal to zero and attempt to solve:

Simplifying
5 + -4x = 0

Solving
5 + -4x = 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 + -4x = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -4x = 0 + -5
-4x = 0 + -5

Combine like terms: 0 + -5 = -5
-4x = -5

Divide each side by '-4'.
x = 1.25

Simplifying
x = 1.25

Subproblem 2
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
Solution
x = {1.25, 1.5}

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