(5x-7)(3x-4)=

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Solution for (5x-7)(3x-4)= equation:


Simplifying
(5x + -7)(3x + -4) = 0

Reorder the terms:
(-7 + 5x)(3x + -4) = 0

Reorder the terms:
(-7 + 5x)(-4 + 3x) = 0

Multiply (-7 + 5x) * (-4 + 3x)
(-7(-4 + 3x) + 5x * (-4 + 3x)) = 0
((-4 * -7 + 3x * -7) + 5x * (-4 + 3x)) = 0
((28 + -21x) + 5x * (-4 + 3x)) = 0
(28 + -21x + (-4 * 5x + 3x * 5x)) = 0
(28 + -21x + (-20x + 15x2)) = 0

Combine like terms: -21x + -20x = -41x
(28 + -41x + 15x2) = 0

Solving
28 + -41x + 15x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(4 + -3x)(7 + -5x) = 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 '(7 + -5x)' equal to zero and attempt to solve: Simplifying 7 + -5x = 0 Solving 7 + -5x = 0 Move all terms containing x to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + -5x = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -5x = 0 + -7 -5x = 0 + -7 Combine like terms: 0 + -7 = -7 -5x = -7 Divide each side by '-5'. x = 1.4 Simplifying x = 1.4

Solution

x = {1.333333333, 1.4}

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