12x^2+48x=80x

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Solution for 12x^2+48x=80x equation:


Simplifying
12x2 + 48x = 80x

Reorder the terms:
48x + 12x2 = 80x

Solving
48x + 12x2 = 80x

Solving for variable 'x'.

Reorder the terms:
48x + -80x + 12x2 = 80x + -80x

Combine like terms: 48x + -80x = -32x
-32x + 12x2 = 80x + -80x

Combine like terms: 80x + -80x = 0
-32x + 12x2 = 0

Factor out the Greatest Common Factor (GCF), '4x'.
4x(-8 + 3x) = 0

Ignore the factor 4.

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 '(-8 + 3x)' equal to zero and attempt to solve: Simplifying -8 + 3x = 0 Solving -8 + 3x = 0 Move all terms containing x to the left, all other terms to the right. Add '8' to each side of the equation. -8 + 8 + 3x = 0 + 8 Combine like terms: -8 + 8 = 0 0 + 3x = 0 + 8 3x = 0 + 8 Combine like terms: 0 + 8 = 8 3x = 8 Divide each side by '3'. x = 2.666666667 Simplifying x = 2.666666667

Solution

x = {0, 2.666666667}

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