-15x(x)-40x=-20x(x)-8x

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Solution for -15x(x)-40x=-20x(x)-8x equation:


Simplifying
-15x(x) + -40x = -20x(x) + -8x

Multiply x * x
-15x2 + -40x = -20x(x) + -8x

Reorder the terms:
-40x + -15x2 = -20x(x) + -8x

Multiply x * x
-40x + -15x2 = -20x2 + -8x

Reorder the terms:
-40x + -15x2 = -8x + -20x2

Solving
-40x + -15x2 = -8x + -20x2

Solving for variable 'x'.

Reorder the terms:
-40x + 8x + -15x2 + 20x2 = -8x + -20x2 + 8x + 20x2

Combine like terms: -40x + 8x = -32x
-32x + -15x2 + 20x2 = -8x + -20x2 + 8x + 20x2

Combine like terms: -15x2 + 20x2 = 5x2
-32x + 5x2 = -8x + -20x2 + 8x + 20x2

Reorder the terms:
-32x + 5x2 = -8x + 8x + -20x2 + 20x2

Combine like terms: -8x + 8x = 0
-32x + 5x2 = 0 + -20x2 + 20x2
-32x + 5x2 = -20x2 + 20x2

Combine like terms: -20x2 + 20x2 = 0
-32x + 5x2 = 0

Factor out the Greatest Common Factor (GCF), 'x'.
x(-32 + 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 '(-32 + 5x)' equal to zero and attempt to solve:

Simplifying
-32 + 5x = 0

Solving
-32 + 5x = 0

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

Add '32' to each side of the equation.
-32 + 32 + 5x = 0 + 32

Combine like terms: -32 + 32 = 0
0 + 5x = 0 + 32
5x = 0 + 32

Combine like terms: 0 + 32 = 32
5x = 32

Divide each side by '5'.
x = 6.4

Simplifying
x = 6.4
Solution
x = {0, 6.4}

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