0=9x^2-10x

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Solution for 0=9x^2-10x equation:


Simplifying
0 = 9x2 + -10x

Reorder the terms:
0 = -10x + 9x2

Solving
0 = -10x + 9x2

Solving for variable 'x'.
Remove the zero:
10x + -9x2 = -10x + 9x2 + 10x + -9x2

Reorder the terms:
10x + -9x2 = -10x + 10x + 9x2 + -9x2

Combine like terms: -10x + 10x = 0
10x + -9x2 = 0 + 9x2 + -9x2
10x + -9x2 = 9x2 + -9x2

Combine like terms: 9x2 + -9x2 = 0
10x + -9x2 = 0

Factor out the Greatest Common Factor (GCF), 'x'.
x(10 + -9x) = 0

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 '(10 + -9x)' equal to zero and attempt to solve: Simplifying 10 + -9x = 0 Solving 10 + -9x = 0 Move all terms containing x to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + -9x = 0 + -10 Combine like terms: 10 + -10 = 0 0 + -9x = 0 + -10 -9x = 0 + -10 Combine like terms: 0 + -10 = -10 -9x = -10 Divide each side by '-9'. x = 1.111111111 Simplifying x = 1.111111111

Solution

x = {0, 1.111111111}

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