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

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Solution for (4x+4)(5x+7)=0 equation: 


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

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

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

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

Combine like terms: 20x + 28x = 48x
(28 + 48x + 20x2) = 0

Solving
28 + 48x + 20x2 = 0

Solving for variable 'x'.

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

Factor a trinomial.
4((7 + 5x)(1 + x)) = 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 + x)' equal to zero and attempt to solve:

Simplifying
1 + x = 0

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

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

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

Simplifying
x = -1
Solution
x = {-1.4, -1}

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