4x(6x-10)=4x+8(5x)

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Solution for 4x(6x-10)=4x+8(5x) equation: 


Simplifying
4x(6x + -10) = 4x + 8(5x)

Reorder the terms:
4x(-10 + 6x) = 4x + 8(5x)
(-10 * 4x + 6x * 4x) = 4x + 8(5x)
(-40x + 24x2) = 4x + 8(5x)

Remove parenthesis around (5x)
-40x + 24x2 = 4x + 8 * 5x

Multiply 8 * 5
-40x + 24x2 = 4x + 40x

Combine like terms: 4x + 40x = 44x
-40x + 24x2 = 44x

Solving
-40x + 24x2 = 44x

Solving for variable 'x'.

Reorder the terms:
-40x + -44x + 24x2 = 44x + -44x

Combine like terms: -40x + -44x = -84x
-84x + 24x2 = 44x + -44x

Combine like terms: 44x + -44x = 0
-84x + 24x2 = 0

Factor out the Greatest Common Factor (GCF), '12x'.
12x(-7 + 2x) = 0

Ignore the factor 12.

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 '(-7 + 2x)' equal to zero and attempt to solve:

Simplifying
-7 + 2x = 0

Solving
-7 + 2x = 0

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

Add '7' to each side of the equation.
-7 + 7 + 2x = 0 + 7

Combine like terms: -7 + 7 = 0
0 + 2x = 0 + 7
2x = 0 + 7

Combine like terms: 0 + 7 = 7
2x = 7

Divide each side by '2'.
x = 3.5

Simplifying
x = 3.5
Solution
x = {0, 3.5}

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