(2x-3)(6x-8)=

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Solution for (2x-3)(6x-8)= equation:


Simplifying
(2x + -3)(6x + -8) = 0

Reorder the terms:
(-3 + 2x)(6x + -8) = 0

Reorder the terms:
(-3 + 2x)(-8 + 6x) = 0

Multiply (-3 + 2x) * (-8 + 6x)
(-3(-8 + 6x) + 2x * (-8 + 6x)) = 0
((-8 * -3 + 6x * -3) + 2x * (-8 + 6x)) = 0
((24 + -18x) + 2x * (-8 + 6x)) = 0
(24 + -18x + (-8 * 2x + 6x * 2x)) = 0
(24 + -18x + (-16x + 12x2)) = 0

Combine like terms: -18x + -16x = -34x
(24 + -34x + 12x2) = 0

Solving
24 + -34x + 12x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2'.
2(12 + -17x + 6x2) = 0

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

Ignore the factor 2.

Subproblem 1

Set the factor '(4 + -3x)' equal to zero and attempt to solve: Simplifying 4 + -3x = 0 Solving 4 + -3x = 0 Move all terms containing x to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + -3x = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -3x = 0 + -4 -3x = 0 + -4 Combine like terms: 0 + -4 = -4 -3x = -4 Divide each side by '-3'. x = 1.333333333 Simplifying x = 1.333333333

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 = {1.333333333, 1.5}

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