4x=3x^2-9x

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Solution for 4x=3x^2-9x equation:


Simplifying
4x = 3x2 + -9x

Reorder the terms:
4x = -9x + 3x2

Solving
4x = -9x + 3x2

Solving for variable 'x'.

Combine like terms: 4x + 9x = 13x
13x + -3x2 = -9x + 3x2 + 9x + -3x2

Reorder the terms:
13x + -3x2 = -9x + 9x + 3x2 + -3x2

Combine like terms: -9x + 9x = 0
13x + -3x2 = 0 + 3x2 + -3x2
13x + -3x2 = 3x2 + -3x2

Combine like terms: 3x2 + -3x2 = 0
13x + -3x2 = 0

Factor out the Greatest Common Factor (GCF), 'x'.
x(13 + -3x) = 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 '(13 + -3x)' equal to zero and attempt to solve: Simplifying 13 + -3x = 0 Solving 13 + -3x = 0 Move all terms containing x to the left, all other terms to the right. Add '-13' to each side of the equation. 13 + -13 + -3x = 0 + -13 Combine like terms: 13 + -13 = 0 0 + -3x = 0 + -13 -3x = 0 + -13 Combine like terms: 0 + -13 = -13 -3x = -13 Divide each side by '-3'. x = 4.333333333 Simplifying x = 4.333333333

Solution

x = {0, 4.333333333}

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