(4x-8)(5x-7)=

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Solution for (4x-8)(5x-7)= equation: 


Simplifying
(4x + -8)(5x + -7) = 0

Reorder the terms:
(-8 + 4x)(5x + -7) = 0

Reorder the terms:
(-8 + 4x)(-7 + 5x) = 0

Multiply (-8 + 4x) * (-7 + 5x)
(-8(-7 + 5x) + 4x * (-7 + 5x)) = 0
((-7 * -8 + 5x * -8) + 4x * (-7 + 5x)) = 0
((56 + -40x) + 4x * (-7 + 5x)) = 0
(56 + -40x + (-7 * 4x + 5x * 4x)) = 0
(56 + -40x + (-28x + 20x2)) = 0

Combine like terms: -40x + -28x = -68x
(56 + -68x + 20x2) = 0

Solving
56 + -68x + 20x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '4'.
4(14 + -17x + 5x2) = 0

Factor a trinomial.
4((7 + -5x)(2 + -1x)) = 0

Ignore the factor 4.

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 '(2 + -1x)' equal to zero and attempt to solve:

Simplifying
2 + -1x = 0

Solving
2 + -1x = 0

Move all terms containing x to the left, all other terms to the right.

Add '-2' to each side of the equation.
2 + -2 + -1x = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -1x = 0 + -2
-1x = 0 + -2

Combine like terms: 0 + -2 = -2
-1x = -2

Divide each side by '-1'.
x = 2

Simplifying
x = 2
Solution
x = {1.4, 2}

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