5x^2+3x=8x

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Solution for 5x^2+3x=8x equation:


Simplifying
5x2 + 3x = 8x

Reorder the terms:
3x + 5x2 = 8x

Solving
3x + 5x2 = 8x

Solving for variable 'x'.

Reorder the terms:
3x + -8x + 5x2 = 8x + -8x

Combine like terms: 3x + -8x = -5x
-5x + 5x2 = 8x + -8x

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

Factor out the Greatest Common Factor (GCF), '5x'.
5x(-1 + x) = 0

Ignore the factor 5.

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 '(-1 + x)' equal to zero and attempt to solve: Simplifying -1 + x = 0 Solving -1 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + x = 0 + 1 Combine like terms: -1 + 1 = 0 0 + x = 0 + 1 x = 0 + 1 Combine like terms: 0 + 1 = 1 x = 1 Simplifying x = 1

Solution

x = {0, 1}

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