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

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


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

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

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

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

Combine like terms: 56x + 20x = 76x
(28 + 76x + 40x2) = 0

Solving
28 + 76x + 40x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '4'.
4(7 + 19x + 10x2) = 0

Factor a trinomial.
4((7 + 5x)(1 + 2x)) = 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 '(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 = {-1.4, -0.5}

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