(2x-3)(5x-7)=

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Solution for (2x-3)(5x-7)= equation:


Simplifying
(2x + -3)(5x + -7) = 0

Reorder the terms:
(-3 + 2x)(5x + -7) = 0

Reorder the terms:
(-3 + 2x)(-7 + 5x) = 0

Multiply (-3 + 2x) * (-7 + 5x)
(-3(-7 + 5x) + 2x * (-7 + 5x)) = 0
((-7 * -3 + 5x * -3) + 2x * (-7 + 5x)) = 0
((21 + -15x) + 2x * (-7 + 5x)) = 0
(21 + -15x + (-7 * 2x + 5x * 2x)) = 0
(21 + -15x + (-14x + 10x2)) = 0

Combine like terms: -15x + -14x = -29x
(21 + -29x + 10x2) = 0

Solving
21 + -29x + 10x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(7 + -5x)(3 + -2x) = 0

Subproblem 1

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

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 = {1.4, 1.5}

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