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

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


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

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

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

Multiply (7 + 4x) * (5 + 2x)
(7(5 + 2x) + 4x * (5 + 2x)) = 0
((5 * 7 + 2x * 7) + 4x * (5 + 2x)) = 0
((35 + 14x) + 4x * (5 + 2x)) = 0
(35 + 14x + (5 * 4x + 2x * 4x)) = 0
(35 + 14x + (20x + 8x2)) = 0

Combine like terms: 14x + 20x = 34x
(35 + 34x + 8x2) = 0

Solving
35 + 34x + 8x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(5 + 2x)(7 + 4x) = 0


Subproblem 1
Set the factor '(5 + 2x)' equal to zero and attempt to solve:

Simplifying
5 + 2x = 0

Solving
5 + 2x = 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 + 2x = 0 + -5

Combine like terms: 5 + -5 = 0
0 + 2x = 0 + -5
2x = 0 + -5

Combine like terms: 0 + -5 = -5
2x = -5

Divide each side by '2'.
x = -2.5

Simplifying
x = -2.5

Subproblem 2
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
Solution
x = {-2.5, -1.75}

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