3(3-3x)(3+2x)=0

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Solution for 3(3-3x)(3+2x)=0 equation:


Simplifying
3(3 + -3x)(3 + 2x) = 0

Multiply (3 + -3x) * (3 + 2x)
3(3(3 + 2x) + -3x * (3 + 2x)) = 0
3((3 * 3 + 2x * 3) + -3x * (3 + 2x)) = 0
3((9 + 6x) + -3x * (3 + 2x)) = 0
3(9 + 6x + (3 * -3x + 2x * -3x)) = 0
3(9 + 6x + (-9x + -6x2)) = 0

Combine like terms: 6x + -9x = -3x
3(9 + -3x + -6x2) = 0
(9 * 3 + -3x * 3 + -6x2 * 3) = 0
(27 + -9x + -18x2) = 0

Solving
27 + -9x + -18x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '9'.
9(3 + -1x + -2x2) = 0

Factor a trinomial.
9((1 + -1x)(3 + 2x)) = 0

Ignore the factor 9.

Subproblem 1

Set the factor '(1 + -1x)' equal to zero and attempt to solve: Simplifying 1 + -1x = 0 Solving 1 + -1x = 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 + -1x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -1x = 0 + -1 -1x = 0 + -1 Combine like terms: 0 + -1 = -1 -1x = -1 Divide each side by '-1'. x = 1 Simplifying x = 1

Subproblem 2

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

Solution

x = {1, -1.5}

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