0=8x^2-18x

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Solution for 0=8x^2-18x equation:


Simplifying
0 = 8x2 + -18x

Reorder the terms:
0 = -18x + 8x2

Solving
0 = -18x + 8x2

Solving for variable 'x'.
Remove the zero:
18x + -8x2 = -18x + 8x2 + 18x + -8x2

Reorder the terms:
18x + -8x2 = -18x + 18x + 8x2 + -8x2

Combine like terms: -18x + 18x = 0
18x + -8x2 = 0 + 8x2 + -8x2
18x + -8x2 = 8x2 + -8x2

Combine like terms: 8x2 + -8x2 = 0
18x + -8x2 = 0

Factor out the Greatest Common Factor (GCF), '2x'.
2x(9 + -4x) = 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 + -4x)' equal to zero and attempt to solve: Simplifying 9 + -4x = 0 Solving 9 + -4x = 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 + -4x = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -4x = 0 + -9 -4x = 0 + -9 Combine like terms: 0 + -9 = -9 -4x = -9 Divide each side by '-4'. x = 2.25 Simplifying x = 2.25

Solution

x = {0, 2.25}

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