(4x-5)(6x-2)=

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Solution for (4x-5)(6x-2)= equation:


Simplifying
(4x + -5)(6x + -2) = 0

Reorder the terms:
(-5 + 4x)(6x + -2) = 0

Reorder the terms:
(-5 + 4x)(-2 + 6x) = 0

Multiply (-5 + 4x) * (-2 + 6x)
(-5(-2 + 6x) + 4x * (-2 + 6x)) = 0
((-2 * -5 + 6x * -5) + 4x * (-2 + 6x)) = 0
((10 + -30x) + 4x * (-2 + 6x)) = 0
(10 + -30x + (-2 * 4x + 6x * 4x)) = 0
(10 + -30x + (-8x + 24x2)) = 0

Combine like terms: -30x + -8x = -38x
(10 + -38x + 24x2) = 0

Solving
10 + -38x + 24x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2'.
2(5 + -19x + 12x2) = 0

Factor a trinomial.
2((1 + -3x)(5 + -4x)) = 0

Ignore the factor 2.

Subproblem 1

Set the factor '(1 + -3x)' equal to zero and attempt to solve: Simplifying 1 + -3x = 0 Solving 1 + -3x = 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 + -3x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -3x = 0 + -1 -3x = 0 + -1 Combine like terms: 0 + -1 = -1 -3x = -1 Divide each side by '-3'. x = 0.3333333333 Simplifying x = 0.3333333333

Subproblem 2

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

Solution

x = {0.3333333333, 1.25}

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