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

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


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

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

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

Multiply (7 + 5x) * (5 + 4x)
(7(5 + 4x) + 5x * (5 + 4x)) = 0
((5 * 7 + 4x * 7) + 5x * (5 + 4x)) = 0
((35 + 28x) + 5x * (5 + 4x)) = 0
(35 + 28x + (5 * 5x + 4x * 5x)) = 0
(35 + 28x + (25x + 20x2)) = 0

Combine like terms: 28x + 25x = 53x
(35 + 53x + 20x2) = 0

Solving
35 + 53x + 20x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(7 + 5x)(5 + 4x) = 0


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 '(5 + 4x)' equal to zero and attempt to solve:

Simplifying
5 + 4x = 0

Solving
5 + 4x = 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 + 4x = 0 + -5

Combine like terms: 5 + -5 = 0
0 + 4x = 0 + -5
4x = 0 + -5

Combine like terms: 0 + -5 = -5
4x = -5

Divide each side by '4'.
x = -1.25

Simplifying
x = -1.25
Solution
x = {-1.4, -1.25}

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