(8x+4)(-6x+5)=

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Solution for (8x+4)(-6x+5)= equation: 


Simplifying
(8x + 4)(-6x + 5) = 0

Reorder the terms:
(4 + 8x)(-6x + 5) = 0

Reorder the terms:
(4 + 8x)(5 + -6x) = 0

Multiply (4 + 8x) * (5 + -6x)
(4(5 + -6x) + 8x * (5 + -6x)) = 0
((5 * 4 + -6x * 4) + 8x * (5 + -6x)) = 0
((20 + -24x) + 8x * (5 + -6x)) = 0
(20 + -24x + (5 * 8x + -6x * 8x)) = 0
(20 + -24x + (40x + -48x2)) = 0

Combine like terms: -24x + 40x = 16x
(20 + 16x + -48x2) = 0

Solving
20 + 16x + -48x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '4'.
4(5 + 4x + -12x2) = 0

Factor a trinomial.
4((5 + -6x)(1 + 2x)) = 0

Ignore the factor 4.

Subproblem 1
Set the factor '(5 + -6x)' equal to zero and attempt to solve:

Simplifying
5 + -6x = 0

Solving
5 + -6x = 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 + -6x = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -6x = 0 + -5
-6x = 0 + -5

Combine like terms: 0 + -5 = -5
-6x = -5

Divide each side by '-6'.
x = 0.8333333333

Simplifying
x = 0.8333333333

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

Simplifying
1 + 2x = 0

Solving
1 + 2x = 0

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

Add '-1' to each side of the equation.
1 + -1 + 2x = 0 + -1

Combine like terms: 1 + -1 = 0
0 + 2x = 0 + -1
2x = 0 + -1

Combine like terms: 0 + -1 = -1
2x = -1

Divide each side by '2'.
x = -0.5

Simplifying
x = -0.5
Solution
x = {0.8333333333, -0.5}

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