-3x^2-17x-12=-10x-10

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Solution for -3x^2-17x-12=-10x-10 equation:


Simplifying
-3x2 + -17x + -12 = -10x + -10

Reorder the terms:
-12 + -17x + -3x2 = -10x + -10

Reorder the terms:
-12 + -17x + -3x2 = -10 + -10x

Solving
-12 + -17x + -3x2 = -10 + -10x

Solving for variable 'x'.

Reorder the terms:
-12 + 10 + -17x + 10x + -3x2 = -10 + -10x + 10 + 10x

Combine like terms: -12 + 10 = -2
-2 + -17x + 10x + -3x2 = -10 + -10x + 10 + 10x

Combine like terms: -17x + 10x = -7x
-2 + -7x + -3x2 = -10 + -10x + 10 + 10x

Reorder the terms:
-2 + -7x + -3x2 = -10 + 10 + -10x + 10x

Combine like terms: -10 + 10 = 0
-2 + -7x + -3x2 = 0 + -10x + 10x
-2 + -7x + -3x2 = -10x + 10x

Combine like terms: -10x + 10x = 0
-2 + -7x + -3x2 = 0

Factor out the Greatest Common Factor (GCF), '-1'.
-1(2 + 7x + 3x2) = 0

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

Ignore the factor -1.

Subproblem 1
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

Subproblem 2
Set the factor '(1 + 3x)' equal to zero and attempt to solve:

Simplifying
1 + 3x = 0

Solving
1 + 3x = 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 + 3x = 0 + -1

Combine like terms: 1 + -1 = 0
0 + 3x = 0 + -1
3x = 0 + -1

Combine like terms: 0 + -1 = -1
3x = -1

Divide each side by '3'.
x = -0.3333333333

Simplifying
x = -0.3333333333
Solution
x = {-2, -0.3333333333}

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