0=3x^2+9x-30

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Solution for 0=3x^2+9x-30 equation:


Simplifying
0 = 3x2 + 9x + -30

Reorder the terms:
0 = -30 + 9x + 3x2

Solving
0 = -30 + 9x + 3x2

Solving for variable 'x'.

Combine like terms: 0 + 30 = 30
30 + -9x + -3x2 = -30 + 9x + 3x2 + 30 + -9x + -3x2

Reorder the terms:
30 + -9x + -3x2 = -30 + 30 + 9x + -9x + 3x2 + -3x2

Combine like terms: -30 + 30 = 0
30 + -9x + -3x2 = 0 + 9x + -9x + 3x2 + -3x2
30 + -9x + -3x2 = 9x + -9x + 3x2 + -3x2

Combine like terms: 9x + -9x = 0
30 + -9x + -3x2 = 0 + 3x2 + -3x2
30 + -9x + -3x2 = 3x2 + -3x2

Combine like terms: 3x2 + -3x2 = 0
30 + -9x + -3x2 = 0

Factor out the Greatest Common Factor (GCF), '3'.
3(10 + -3x + -1x2) = 0

Factor a trinomial.
3((2 + -1x)(5 + x)) = 0

Ignore the factor 3.

Subproblem 1

Set the factor '(2 + -1x)' equal to zero and attempt to solve: Simplifying 2 + -1x = 0 Solving 2 + -1x = 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 + -1x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -1x = 0 + -2 -1x = 0 + -2 Combine like terms: 0 + -2 = -2 -1x = -2 Divide each side by '-1'. x = 2 Simplifying x = 2

Subproblem 2

Set the factor '(5 + x)' equal to zero and attempt to solve: Simplifying 5 + x = 0 Solving 5 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + x = 0 + -5 x = 0 + -5 Combine like terms: 0 + -5 = -5 x = -5 Simplifying x = -5

Solution

x = {2, -5}

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