(x+3)(3x-3)=63

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Solution for (x+3)(3x-3)=63 equation:


Simplifying
(x + 3)(3x + -3) = 63

Reorder the terms:
(3 + x)(3x + -3) = 63

Reorder the terms:
(3 + x)(-3 + 3x) = 63

Multiply (3 + x) * (-3 + 3x)
(3(-3 + 3x) + x(-3 + 3x)) = 63
((-3 * 3 + 3x * 3) + x(-3 + 3x)) = 63
((-9 + 9x) + x(-3 + 3x)) = 63
(-9 + 9x + (-3 * x + 3x * x)) = 63
(-9 + 9x + (-3x + 3x2)) = 63

Combine like terms: 9x + -3x = 6x
(-9 + 6x + 3x2) = 63

Solving
-9 + 6x + 3x2 = 63

Solving for variable 'x'.

Reorder the terms:
-9 + -63 + 6x + 3x2 = 63 + -63

Combine like terms: -9 + -63 = -72
-72 + 6x + 3x2 = 63 + -63

Combine like terms: 63 + -63 = 0
-72 + 6x + 3x2 = 0

Factor out the Greatest Common Factor (GCF), '3'.
3(-24 + 2x + x2) = 0

Factor a trinomial.
3((-6 + -1x)(4 + -1x)) = 0

Ignore the factor 3.

Subproblem 1

Set the factor '(-6 + -1x)' equal to zero and attempt to solve: Simplifying -6 + -1x = 0 Solving -6 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '6' to each side of the equation. -6 + 6 + -1x = 0 + 6 Combine like terms: -6 + 6 = 0 0 + -1x = 0 + 6 -1x = 0 + 6 Combine like terms: 0 + 6 = 6 -1x = 6 Divide each side by '-1'. x = -6 Simplifying x = -6

Subproblem 2

Set the factor '(4 + -1x)' equal to zero and attempt to solve: Simplifying 4 + -1x = 0 Solving 4 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + -1x = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -1x = 0 + -4 -1x = 0 + -4 Combine like terms: 0 + -4 = -4 -1x = -4 Divide each side by '-1'. x = 4 Simplifying x = 4

Solution

x = {-6, 4}

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