16x^2=18x

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Solution for 16x^2=18x equation:


Simplifying
16x2 = 18x

Solving
16x2 = 18x

Solving for variable 'x'.

Reorder the terms:
-18x + 16x2 = 18x + -18x

Combine like terms: 18x + -18x = 0
-18x + 16x2 = 0

Factor out the Greatest Common Factor (GCF), '2x'.
2x(-9 + 8x) = 0

Ignore the factor 2.

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 + 8x)' equal to zero and attempt to solve: Simplifying -9 + 8x = 0 Solving -9 + 8x = 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 + 8x = 0 + 9 Combine like terms: -9 + 9 = 0 0 + 8x = 0 + 9 8x = 0 + 9 Combine like terms: 0 + 9 = 9 8x = 9 Divide each side by '8'. x = 1.125 Simplifying x = 1.125

Solution

x = {0, 1.125}

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