3x^2-14x=10x

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Solution for 3x^2-14x=10x equation:


Simplifying
3x2 + -14x = 10x

Reorder the terms:
-14x + 3x2 = 10x

Solving
-14x + 3x2 = 10x

Solving for variable 'x'.

Reorder the terms:
-14x + -10x + 3x2 = 10x + -10x

Combine like terms: -14x + -10x = -24x
-24x + 3x2 = 10x + -10x

Combine like terms: 10x + -10x = 0
-24x + 3x2 = 0

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

Ignore the factor 3.

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 + x)' equal to zero and attempt to solve: Simplifying -8 + x = 0 Solving -8 + x = 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 + x = 0 + 8 Combine like terms: -8 + 8 = 0 0 + x = 0 + 8 x = 0 + 8 Combine like terms: 0 + 8 = 8 x = 8 Simplifying x = 8

Solution

x = {0, 8}

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