(-4x+5)(6x+2)=0

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Solution for (-4x+5)(6x+2)=0 equation: 


Simplifying
(-4x + 5)(6x + 2) = 0

Reorder the terms:
(5 + -4x)(6x + 2) = 0

Reorder the terms:
(5 + -4x)(2 + 6x) = 0

Multiply (5 + -4x) * (2 + 6x)
(5(2 + 6x) + -4x * (2 + 6x)) = 0
((2 * 5 + 6x * 5) + -4x * (2 + 6x)) = 0
((10 + 30x) + -4x * (2 + 6x)) = 0
(10 + 30x + (2 * -4x + 6x * -4x)) = 0
(10 + 30x + (-8x + -24x2)) = 0

Combine like terms: 30x + -8x = 22x
(10 + 22x + -24x2) = 0

Solving
10 + 22x + -24x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2'.
2(5 + 11x + -12x2) = 0

Factor a trinomial.
2((5 + -4x)(1 + 3x)) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(5 + -4x)' equal to zero and attempt to solve:

Simplifying
5 + -4x = 0

Solving
5 + -4x = 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 + -4x = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -4x = 0 + -5
-4x = 0 + -5

Combine like terms: 0 + -5 = -5
-4x = -5

Divide each side by '-4'.
x = 1.25

Simplifying
x = 1.25

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

Simplifying
1 + 3x = 0

Solving
1 + 3x = 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 + 3x = 0 + -1

Combine like terms: 1 + -1 = 0
0 + 3x = 0 + -1
3x = 0 + -1

Combine like terms: 0 + -1 = -1
3x = -1

Divide each side by '3'.
x = -0.3333333333

Simplifying
x = -0.3333333333
Solution
x = {1.25, -0.3333333333}

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