9x=x^2+7x

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Solution for 9x=x^2+7x equation:


Simplifying
9x = x2 + 7x

Reorder the terms:
9x = 7x + x2

Solving
9x = 7x + x2

Solving for variable 'x'.

Combine like terms: 9x + -7x = 2x
2x + -1x2 = 7x + x2 + -7x + -1x2

Reorder the terms:
2x + -1x2 = 7x + -7x + x2 + -1x2

Combine like terms: 7x + -7x = 0
2x + -1x2 = 0 + x2 + -1x2
2x + -1x2 = x2 + -1x2

Combine like terms: x2 + -1x2 = 0
2x + -1x2 = 0

Factor out the Greatest Common Factor (GCF), 'x'.
x(2 + -1x) = 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 '(2 + -1x)' equal to zero and attempt to solve: Simplifying 2 + -1x = 0 Solving 2 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -1x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -1x = 0 + -2 -1x = 0 + -2 Combine like terms: 0 + -2 = -2 -1x = -2 Divide each side by '-1'. x = 2 Simplifying x = 2

Solution

x = {0, 2}

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