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

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


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

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

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

Multiply (-4 + 7x) * (-5 + 4x)
(-4(-5 + 4x) + 7x * (-5 + 4x)) = 0
((-5 * -4 + 4x * -4) + 7x * (-5 + 4x)) = 0
((20 + -16x) + 7x * (-5 + 4x)) = 0
(20 + -16x + (-5 * 7x + 4x * 7x)) = 0
(20 + -16x + (-35x + 28x2)) = 0

Combine like terms: -16x + -35x = -51x
(20 + -51x + 28x2) = 0

Solving
20 + -51x + 28x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(4 + -7x)(5 + -4x) = 0

Subproblem 1

Set the factor '(4 + -7x)' equal to zero and attempt to solve: Simplifying 4 + -7x = 0 Solving 4 + -7x = 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 + -7x = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -7x = 0 + -4 -7x = 0 + -4 Combine like terms: 0 + -4 = -4 -7x = -4 Divide each side by '-7'. x = 0.5714285714 Simplifying x = 0.5714285714

Subproblem 2

Set the factor '(5 + -4x)' equal to zero and attempt to solve: Simplifying 5 + -4x = 0 Solving 5 + -4x = 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 + -4x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -4x = 0 + -5 -4x = 0 + -5 Combine like terms: 0 + -5 = -5 -4x = -5 Divide each side by '-4'. x = 1.25 Simplifying x = 1.25

Solution

x = {0.5714285714, 1.25}

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