(2x-5)(3x-4)=

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Solution for (2x-5)(3x-4)= equation:


Simplifying
(2x + -5)(3x + -4) = 0

Reorder the terms:
(-5 + 2x)(3x + -4) = 0

Reorder the terms:
(-5 + 2x)(-4 + 3x) = 0

Multiply (-5 + 2x) * (-4 + 3x)
(-5(-4 + 3x) + 2x * (-4 + 3x)) = 0
((-4 * -5 + 3x * -5) + 2x * (-4 + 3x)) = 0
((20 + -15x) + 2x * (-4 + 3x)) = 0
(20 + -15x + (-4 * 2x + 3x * 2x)) = 0
(20 + -15x + (-8x + 6x2)) = 0

Combine like terms: -15x + -8x = -23x
(20 + -23x + 6x2) = 0

Solving
20 + -23x + 6x2 = 0

Solving for variable 'x'.

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

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 '(5 + -2x)' equal to zero and attempt to solve: Simplifying 5 + -2x = 0 Solving 5 + -2x = 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 + -2x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -2x = 0 + -5 -2x = 0 + -5 Combine like terms: 0 + -5 = -5 -2x = -5 Divide each side by '-2'. x = 2.5 Simplifying x = 2.5

Solution

x = {1.333333333, 2.5}

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