3x^2+42x+42-17=25

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Solution for 3x^2+42x+42-17=25 equation: 


Simplifying
3x2 + 42x + 42 + -17 = 25

Reorder the terms:
42 + -17 + 42x + 3x2 = 25

Combine like terms: 42 + -17 = 25
25 + 42x + 3x2 = 25

Add '-25' to each side of the equation.
25 + 42x + -25 + 3x2 = 25 + -25

Reorder the terms:
25 + -25 + 42x + 3x2 = 25 + -25

Combine like terms: 25 + -25 = 0
0 + 42x + 3x2 = 25 + -25
42x + 3x2 = 25 + -25

Combine like terms: 25 + -25 = 0
42x + 3x2 = 0

Solving
42x + 3x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '3x'.
3x(14 + x) = 0

Ignore the factor 3.

Subproblem 1
Set the factor 'x' equal to zero and attempt to solve:

Simplifying
x = 0

Solving
x = 0

Move all terms containing x to the left, all other terms to the right.

Simplifying
x = 0

Subproblem 2
Set the factor '(14 + x)' equal to zero and attempt to solve:

Simplifying
14 + x = 0

Solving
14 + x = 0

Move all terms containing x to the left, all other terms to the right.

Add '-14' to each side of the equation.
14 + -14 + x = 0 + -14

Combine like terms: 14 + -14 = 0
0 + x = 0 + -14
x = 0 + -14

Combine like terms: 0 + -14 = -14
x = -14

Simplifying
x = -14
Solution
x = {0, -14}

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