4(5x+7)(2x+3)=

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Solution for 4(5x+7)(2x+3)= equation: 


Simplifying
4(5x + 7)(2x + 3) = 0

Reorder the terms:
4(7 + 5x)(2x + 3) = 0

Reorder the terms:
4(7 + 5x)(3 + 2x) = 0

Multiply (7 + 5x) * (3 + 2x)
4(7(3 + 2x) + 5x * (3 + 2x)) = 0
4((3 * 7 + 2x * 7) + 5x * (3 + 2x)) = 0
4((21 + 14x) + 5x * (3 + 2x)) = 0
4(21 + 14x + (3 * 5x + 2x * 5x)) = 0
4(21 + 14x + (15x + 10x2)) = 0

Combine like terms: 14x + 15x = 29x
4(21 + 29x + 10x2) = 0
(21 * 4 + 29x * 4 + 10x2 * 4) = 0
(84 + 116x + 40x2) = 0

Solving
84 + 116x + 40x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '4'.
4(21 + 29x + 10x2) = 0

Factor a trinomial.
4((3 + 2x)(7 + 5x)) = 0

Ignore the factor 4.

Subproblem 1
Set the factor '(3 + 2x)' equal to zero and attempt to solve:

Simplifying
3 + 2x = 0

Solving
3 + 2x = 0

Move all terms containing x to the left, all other terms to the right.

Add '-3' to each side of the equation.
3 + -3 + 2x = 0 + -3

Combine like terms: 3 + -3 = 0
0 + 2x = 0 + -3
2x = 0 + -3

Combine like terms: 0 + -3 = -3
2x = -3

Divide each side by '2'.
x = -1.5

Simplifying
x = -1.5

Subproblem 2
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
Solution
x = {-1.5, -1.4}

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