3x-6x^2=-9

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Solution for 3x-6x^2=-9 equation:


Simplifying
3x + -6x2 = -9

Solving
3x + -6x2 = -9

Solving for variable 'x'.

Reorder the terms:
9 + 3x + -6x2 = -9 + 9

Combine like terms: -9 + 9 = 0
9 + 3x + -6x2 = 0

Factor out the Greatest Common Factor (GCF), '3'.
3(3 + x + -2x2) = 0

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

Ignore the factor 3.

Subproblem 1

Set the factor '(3 + -2x)' equal to zero and attempt to solve: Simplifying 3 + -2x = 0 Solving 3 + -2x = 0 Move all terms containing x to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -2x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -2x = 0 + -3 -2x = 0 + -3 Combine like terms: 0 + -3 = -3 -2x = -3 Divide each side by '-2'. x = 1.5 Simplifying x = 1.5

Subproblem 2

Set the factor '(1 + x)' equal to zero and attempt to solve: Simplifying 1 + x = 0 Solving 1 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + x = 0 + -1 x = 0 + -1 Combine like terms: 0 + -1 = -1 x = -1 Simplifying x = -1

Solution

x = {1.5, -1}

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