(x-6)(5x-4)=24

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Solution for (x-6)(5x-4)=24 equation: 


Simplifying
(x + -6)(5x + -4) = 24

Reorder the terms:
(-6 + x)(5x + -4) = 24

Reorder the terms:
(-6 + x)(-4 + 5x) = 24

Multiply (-6 + x) * (-4 + 5x)
(-6(-4 + 5x) + x(-4 + 5x)) = 24
((-4 * -6 + 5x * -6) + x(-4 + 5x)) = 24
((24 + -30x) + x(-4 + 5x)) = 24
(24 + -30x + (-4 * x + 5x * x)) = 24
(24 + -30x + (-4x + 5x2)) = 24

Combine like terms: -30x + -4x = -34x
(24 + -34x + 5x2) = 24

Add '-24' to each side of the equation.
24 + -34x + -24 + 5x2 = 24 + -24

Reorder the terms:
24 + -24 + -34x + 5x2 = 24 + -24

Combine like terms: 24 + -24 = 0
0 + -34x + 5x2 = 24 + -24
-34x + 5x2 = 24 + -24

Combine like terms: 24 + -24 = 0
-34x + 5x2 = 0

Solving
-34x + 5x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'x'.
x(-34 + 5x) = 0


Subproblem 1
Set the factor 'x' equal to zero and attempt to solve:

Simplifying
x = 0

Solving
x = 0

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

Simplifying
x = 0

Subproblem 2
Set the factor '(-34 + 5x)' equal to zero and attempt to solve:

Simplifying
-34 + 5x = 0

Solving
-34 + 5x = 0

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

Add '34' to each side of the equation.
-34 + 34 + 5x = 0 + 34

Combine like terms: -34 + 34 = 0
0 + 5x = 0 + 34
5x = 0 + 34

Combine like terms: 0 + 34 = 34
5x = 34

Divide each side by '5'.
x = 6.8

Simplifying
x = 6.8
Solution
x = {0, 6.8}

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