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

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


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

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

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

Multiply (-7 + 4x) * (-7 + 5x)
(-7(-7 + 5x) + 4x * (-7 + 5x)) = 0
((-7 * -7 + 5x * -7) + 4x * (-7 + 5x)) = 0
((49 + -35x) + 4x * (-7 + 5x)) = 0
(49 + -35x + (-7 * 4x + 5x * 4x)) = 0
(49 + -35x + (-28x + 20x2)) = 0

Combine like terms: -35x + -28x = -63x
(49 + -63x + 20x2) = 0

Solving
49 + -63x + 20x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(7 + -5x)(7 + -4x) = 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 '(7 + -4x)' equal to zero and attempt to solve: Simplifying 7 + -4x = 0 Solving 7 + -4x = 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 + -4x = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -4x = 0 + -7 -4x = 0 + -7 Combine like terms: 0 + -7 = -7 -4x = -7 Divide each side by '-4'. x = 1.75 Simplifying x = 1.75

Solution

x = {1.4, 1.75}

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