(4x-2)(7x+5)=

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Solution for (4x-2)(7x+5)= equation: 


Simplifying
(4x + -2)(7x + 5) = 0

Reorder the terms:
(-2 + 4x)(7x + 5) = 0

Reorder the terms:
(-2 + 4x)(5 + 7x) = 0

Multiply (-2 + 4x) * (5 + 7x)
(-2(5 + 7x) + 4x * (5 + 7x)) = 0
((5 * -2 + 7x * -2) + 4x * (5 + 7x)) = 0
((-10 + -14x) + 4x * (5 + 7x)) = 0
(-10 + -14x + (5 * 4x + 7x * 4x)) = 0
(-10 + -14x + (20x + 28x2)) = 0

Combine like terms: -14x + 20x = 6x
(-10 + 6x + 28x2) = 0

Solving
-10 + 6x + 28x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2'.
2(-5 + 3x + 14x2) = 0

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

Ignore the factor 2.

Subproblem 1
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

Subproblem 2
Set the factor '(1 + -2x)' equal to zero and attempt to solve:

Simplifying
1 + -2x = 0

Solving
1 + -2x = 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 + -2x = 0 + -1

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

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

Divide each side by '-2'.
x = 0.5

Simplifying
x = 0.5
Solution
x = {-0.7142857143, 0.5}

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