56x^2-81x=-9x

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Solution for 56x^2-81x=-9x equation:


Simplifying
56x2 + -81x = -9x

Reorder the terms:
-81x + 56x2 = -9x

Solving
-81x + 56x2 = -9x

Solving for variable 'x'.

Reorder the terms:
-81x + 9x + 56x2 = -9x + 9x

Combine like terms: -81x + 9x = -72x
-72x + 56x2 = -9x + 9x

Combine like terms: -9x + 9x = 0
-72x + 56x2 = 0

Factor out the Greatest Common Factor (GCF), '8x'.
8x(-9 + 7x) = 0

Ignore the factor 8.

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 '(-9 + 7x)' equal to zero and attempt to solve: Simplifying -9 + 7x = 0 Solving -9 + 7x = 0 Move all terms containing x to the left, all other terms to the right. Add '9' to each side of the equation. -9 + 9 + 7x = 0 + 9 Combine like terms: -9 + 9 = 0 0 + 7x = 0 + 9 7x = 0 + 9 Combine like terms: 0 + 9 = 9 7x = 9 Divide each side by '7'. x = 1.285714286 Simplifying x = 1.285714286

Solution

x = {0, 1.285714286}

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