3x^2+30x+75-27=0

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Solution for 3x^2+30x+75-27=0 equation:


Simplifying
3x2 + 30x + 75 + -27 = 0

Reorder the terms:
75 + -27 + 30x + 3x2 = 0

Combine like terms: 75 + -27 = 48
48 + 30x + 3x2 = 0

Solving
48 + 30x + 3x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '3'.
3(16 + 10x + x2) = 0

Factor a trinomial.
3((8 + x)(2 + x)) = 0

Ignore the factor 3.

Subproblem 1

Set the factor '(8 + x)' equal to zero and attempt to solve: Simplifying 8 + x = 0 Solving 8 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + x = 0 + -8 Combine like terms: 8 + -8 = 0 0 + x = 0 + -8 x = 0 + -8 Combine like terms: 0 + -8 = -8 x = -8 Simplifying x = -8

Subproblem 2

Set the factor '(2 + x)' equal to zero and attempt to solve: Simplifying 2 + x = 0 Solving 2 + x = 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 + x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + x = 0 + -2 x = 0 + -2 Combine like terms: 0 + -2 = -2 x = -2 Simplifying x = -2

Solution

x = {-8, -2}

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