(7x+5)(-8x+2)=

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Solution for (7x+5)(-8x+2)= equation: 


Simplifying
(7x + 5)(-8x + 2) = 0

Reorder the terms:
(5 + 7x)(-8x + 2) = 0

Reorder the terms:
(5 + 7x)(2 + -8x) = 0

Multiply (5 + 7x) * (2 + -8x)
(5(2 + -8x) + 7x * (2 + -8x)) = 0
((2 * 5 + -8x * 5) + 7x * (2 + -8x)) = 0
((10 + -40x) + 7x * (2 + -8x)) = 0
(10 + -40x + (2 * 7x + -8x * 7x)) = 0
(10 + -40x + (14x + -56x2)) = 0

Combine like terms: -40x + 14x = -26x
(10 + -26x + -56x2) = 0

Solving
10 + -26x + -56x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2'.
2(5 + -13x + -28x2) = 0

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

Ignore the factor 2.

Subproblem 1
Set the factor '(1 + -4x)' equal to zero and attempt to solve:

Simplifying
1 + -4x = 0

Solving
1 + -4x = 0

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

Add '-1' to each side of the equation.
1 + -1 + -4x = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -4x = 0 + -1
-4x = 0 + -1

Combine like terms: 0 + -1 = -1
-4x = -1

Divide each side by '-4'.
x = 0.25

Simplifying
x = 0.25

Subproblem 2
Set the factor '(5 + 7x)' equal to zero and attempt to solve:

Simplifying
5 + 7x = 0

Solving
5 + 7x = 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 + 7x = 0 + -5

Combine like terms: 5 + -5 = 0
0 + 7x = 0 + -5
7x = 0 + -5

Combine like terms: 0 + -5 = -5
7x = -5

Divide each side by '7'.
x = -0.7142857143

Simplifying
x = -0.7142857143
Solution
x = {0.25, -0.7142857143}

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