(5x+12)(7x-4)=

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Solution for (5x+12)(7x-4)= equation: 


Simplifying
(5x + 12)(7x + -4) = 0

Reorder the terms:
(12 + 5x)(7x + -4) = 0

Reorder the terms:
(12 + 5x)(-4 + 7x) = 0

Multiply (12 + 5x) * (-4 + 7x)
(12(-4 + 7x) + 5x * (-4 + 7x)) = 0
((-4 * 12 + 7x * 12) + 5x * (-4 + 7x)) = 0
((-48 + 84x) + 5x * (-4 + 7x)) = 0
(-48 + 84x + (-4 * 5x + 7x * 5x)) = 0
(-48 + 84x + (-20x + 35x2)) = 0

Combine like terms: 84x + -20x = 64x
(-48 + 64x + 35x2) = 0

Solving
-48 + 64x + 35x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(-12 + -5x)(4 + -7x) = 0


Subproblem 1
Set the factor '(-12 + -5x)' equal to zero and attempt to solve:

Simplifying
-12 + -5x = 0

Solving
-12 + -5x = 0

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

Add '12' to each side of the equation.
-12 + 12 + -5x = 0 + 12

Combine like terms: -12 + 12 = 0
0 + -5x = 0 + 12
-5x = 0 + 12

Combine like terms: 0 + 12 = 12
-5x = 12

Divide each side by '-5'.
x = -2.4

Simplifying
x = -2.4

Subproblem 2
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
Solution
x = {-2.4, 0.5714285714}

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