(5x+10)(7x-2)=

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Solution for (5x+10)(7x-2)= equation: 


Simplifying
(5x + 10)(7x + -2) = 0

Reorder the terms:
(10 + 5x)(7x + -2) = 0

Reorder the terms:
(10 + 5x)(-2 + 7x) = 0

Multiply (10 + 5x) * (-2 + 7x)
(10(-2 + 7x) + 5x * (-2 + 7x)) = 0
((-2 * 10 + 7x * 10) + 5x * (-2 + 7x)) = 0
((-20 + 70x) + 5x * (-2 + 7x)) = 0
(-20 + 70x + (-2 * 5x + 7x * 5x)) = 0
(-20 + 70x + (-10x + 35x2)) = 0

Combine like terms: 70x + -10x = 60x
(-20 + 60x + 35x2) = 0

Solving
-20 + 60x + 35x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '5'.
5(-4 + 12x + 7x2) = 0

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

Ignore the factor 5.

Subproblem 1
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

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

Simplifying
2 + -7x = 0

Solving
2 + -7x = 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 + -7x = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -7x = 0 + -2
-7x = 0 + -2

Combine like terms: 0 + -2 = -2
-7x = -2

Divide each side by '-7'.
x = 0.2857142857

Simplifying
x = 0.2857142857
Solution
x = {-2, 0.2857142857}

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