(-14x+8)(24x+15)=0

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Solution for (-14x+8)(24x+15)=0 equation: 


Simplifying
(-14x + 8)(24x + 15) = 0

Reorder the terms:
(8 + -14x)(24x + 15) = 0

Reorder the terms:
(8 + -14x)(15 + 24x) = 0

Multiply (8 + -14x) * (15 + 24x)
(8(15 + 24x) + -14x * (15 + 24x)) = 0
((15 * 8 + 24x * 8) + -14x * (15 + 24x)) = 0
((120 + 192x) + -14x * (15 + 24x)) = 0
(120 + 192x + (15 * -14x + 24x * -14x)) = 0
(120 + 192x + (-210x + -336x2)) = 0

Combine like terms: 192x + -210x = -18x
(120 + -18x + -336x2) = 0

Solving
120 + -18x + -336x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '6'.
6(20 + -3x + -56x2) = 0

Factor a trinomial.
6((4 + -7x)(5 + 8x)) = 0

Ignore the factor 6.

Subproblem 1
Set the factor '(4 + -7x)' equal to zero and attempt to solve:

Simplifying
4 + -7x = 0

Solving
4 + -7x = 0

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

Add '-4' to each side of the equation.
4 + -4 + -7x = 0 + -4

Combine like terms: 4 + -4 = 0
0 + -7x = 0 + -4
-7x = 0 + -4

Combine like terms: 0 + -4 = -4
-7x = -4

Divide each side by '-7'.
x = 0.5714285714

Simplifying
x = 0.5714285714

Subproblem 2
Set the factor '(5 + 8x)' equal to zero and attempt to solve:

Simplifying
5 + 8x = 0

Solving
5 + 8x = 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 + 8x = 0 + -5

Combine like terms: 5 + -5 = 0
0 + 8x = 0 + -5
8x = 0 + -5

Combine like terms: 0 + -5 = -5
8x = -5

Divide each side by '8'.
x = -0.625

Simplifying
x = -0.625
Solution
x = {0.5714285714, -0.625}

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