9x^2-8x=34x

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Solution for 9x^2-8x=34x equation:


Simplifying
9x2 + -8x = 34x

Reorder the terms:
-8x + 9x2 = 34x

Solving
-8x + 9x2 = 34x

Solving for variable 'x'.

Reorder the terms:
-8x + -34x + 9x2 = 34x + -34x

Combine like terms: -8x + -34x = -42x
-42x + 9x2 = 34x + -34x

Combine like terms: 34x + -34x = 0
-42x + 9x2 = 0

Factor out the Greatest Common Factor (GCF), '3x'.
3x(-14 + 3x) = 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 '(-14 + 3x)' equal to zero and attempt to solve: Simplifying -14 + 3x = 0 Solving -14 + 3x = 0 Move all terms containing x to the left, all other terms to the right. Add '14' to each side of the equation. -14 + 14 + 3x = 0 + 14 Combine like terms: -14 + 14 = 0 0 + 3x = 0 + 14 3x = 0 + 14 Combine like terms: 0 + 14 = 14 3x = 14 Divide each side by '3'. x = 4.666666667 Simplifying x = 4.666666667

Solution

x = {0, 4.666666667}

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