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

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


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

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

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

Multiply (-6 + 5x) * (-6 + 4x)
(-6(-6 + 4x) + 5x * (-6 + 4x)) = 0
((-6 * -6 + 4x * -6) + 5x * (-6 + 4x)) = 0
((36 + -24x) + 5x * (-6 + 4x)) = 0
(36 + -24x + (-6 * 5x + 4x * 5x)) = 0
(36 + -24x + (-30x + 20x2)) = 0

Combine like terms: -24x + -30x = -54x
(36 + -54x + 20x2) = 0

Solving
36 + -54x + 20x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2'.
2(18 + -27x + 10x2) = 0

Factor a trinomial.
2((6 + -5x)(3 + -2x)) = 0

Ignore the factor 2.

Subproblem 1

Set the factor '(6 + -5x)' equal to zero and attempt to solve: Simplifying 6 + -5x = 0 Solving 6 + -5x = 0 Move all terms containing x to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + -5x = 0 + -6 Combine like terms: 6 + -6 = 0 0 + -5x = 0 + -6 -5x = 0 + -6 Combine like terms: 0 + -6 = -6 -5x = -6 Divide each side by '-5'. x = 1.2 Simplifying x = 1.2

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 = {1.2, 1.5}

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