3x^2+13x-4=9x

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Solution for 3x^2+13x-4=9x equation:


Simplifying
3x2 + 13x + -4 = 9x

Reorder the terms:
-4 + 13x + 3x2 = 9x

Solving
-4 + 13x + 3x2 = 9x

Solving for variable 'x'.

Reorder the terms:
-4 + 13x + -9x + 3x2 = 9x + -9x

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

Combine like terms: 9x + -9x = 0
-4 + 4x + 3x2 = 0

Factor a trinomial.
(-2 + -1x)(2 + -3x) = 0

Subproblem 1

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

Subproblem 2

Set the factor '(2 + -3x)' equal to zero and attempt to solve: Simplifying 2 + -3x = 0 Solving 2 + -3x = 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 + -3x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -3x = 0 + -2 -3x = 0 + -2 Combine like terms: 0 + -2 = -2 -3x = -2 Divide each side by '-3'. x = 0.6666666667 Simplifying x = 0.6666666667

Solution

x = {-2, 0.6666666667}

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