(3x-9)(2x+7)=

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Solution for (3x-9)(2x+7)= equation:


Simplifying
(3x + -9)(2x + 7) = 0

Reorder the terms:
(-9 + 3x)(2x + 7) = 0

Reorder the terms:
(-9 + 3x)(7 + 2x) = 0

Multiply (-9 + 3x) * (7 + 2x)
(-9(7 + 2x) + 3x * (7 + 2x)) = 0
((7 * -9 + 2x * -9) + 3x * (7 + 2x)) = 0
((-63 + -18x) + 3x * (7 + 2x)) = 0
(-63 + -18x + (7 * 3x + 2x * 3x)) = 0
(-63 + -18x + (21x + 6x2)) = 0

Combine like terms: -18x + 21x = 3x
(-63 + 3x + 6x2) = 0

Solving
-63 + 3x + 6x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '3'.
3(-21 + x + 2x2) = 0

Factor a trinomial.
3((-7 + -2x)(3 + -1x)) = 0

Ignore the factor 3.

Subproblem 1

Set the factor '(-7 + -2x)' equal to zero and attempt to solve: Simplifying -7 + -2x = 0 Solving -7 + -2x = 0 Move all terms containing x to the left, all other terms to the right. Add '7' to each side of the equation. -7 + 7 + -2x = 0 + 7 Combine like terms: -7 + 7 = 0 0 + -2x = 0 + 7 -2x = 0 + 7 Combine like terms: 0 + 7 = 7 -2x = 7 Divide each side by '-2'. x = -3.5 Simplifying x = -3.5

Subproblem 2

Set the factor '(3 + -1x)' equal to zero and attempt to solve: Simplifying 3 + -1x = 0 Solving 3 + -1x = 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 + -1x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -1x = 0 + -3 -1x = 0 + -3 Combine like terms: 0 + -3 = -3 -1x = -3 Divide each side by '-1'. x = 3 Simplifying x = 3

Solution

x = {-3.5, 3}

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