(7x-4)(4x+6)=

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Solution for (7x-4)(4x+6)= equation: 


Simplifying
(7x + -4)(4x + 6) = 0

Reorder the terms:
(-4 + 7x)(4x + 6) = 0

Reorder the terms:
(-4 + 7x)(6 + 4x) = 0

Multiply (-4 + 7x) * (6 + 4x)
(-4(6 + 4x) + 7x * (6 + 4x)) = 0
((6 * -4 + 4x * -4) + 7x * (6 + 4x)) = 0
((-24 + -16x) + 7x * (6 + 4x)) = 0
(-24 + -16x + (6 * 7x + 4x * 7x)) = 0
(-24 + -16x + (42x + 28x2)) = 0

Combine like terms: -16x + 42x = 26x
(-24 + 26x + 28x2) = 0

Solving
-24 + 26x + 28x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2'.
2(-12 + 13x + 14x2) = 0

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

Ignore the factor 2.

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 '(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 = {-1.5, 0.5714285714}

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