(4x+7)(8x+2)=

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Solution for (4x+7)(8x+2)= equation: 


Simplifying
(4x + 7)(8x + 2) = 0

Reorder the terms:
(7 + 4x)(8x + 2) = 0

Reorder the terms:
(7 + 4x)(2 + 8x) = 0

Multiply (7 + 4x) * (2 + 8x)
(7(2 + 8x) + 4x * (2 + 8x)) = 0
((2 * 7 + 8x * 7) + 4x * (2 + 8x)) = 0
((14 + 56x) + 4x * (2 + 8x)) = 0
(14 + 56x + (2 * 4x + 8x * 4x)) = 0
(14 + 56x + (8x + 32x2)) = 0

Combine like terms: 56x + 8x = 64x
(14 + 64x + 32x2) = 0

Solving
14 + 64x + 32x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2'.
2(7 + 32x + 16x2) = 0

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

Ignore the factor 2.

Subproblem 1
Set the factor '(7 + 4x)' equal to zero and attempt to solve:

Simplifying
7 + 4x = 0

Solving
7 + 4x = 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 + 4x = 0 + -7

Combine like terms: 7 + -7 = 0
0 + 4x = 0 + -7
4x = 0 + -7

Combine like terms: 0 + -7 = -7
4x = -7

Divide each side by '4'.
x = -1.75

Simplifying
x = -1.75

Subproblem 2
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
Solution
x = {-1.75, -0.25}

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