x^2+11x+59=-3x+10

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Solution for x^2+11x+59=-3x+10 equation:


Simplifying
x2 + 11x + 59 = -3x + 10

Reorder the terms:
59 + 11x + x2 = -3x + 10

Reorder the terms:
59 + 11x + x2 = 10 + -3x

Solving
59 + 11x + x2 = 10 + -3x

Solving for variable 'x'.

Reorder the terms:
59 + -10 + 11x + 3x + x2 = 10 + -3x + -10 + 3x

Combine like terms: 59 + -10 = 49
49 + 11x + 3x + x2 = 10 + -3x + -10 + 3x

Combine like terms: 11x + 3x = 14x
49 + 14x + x2 = 10 + -3x + -10 + 3x

Reorder the terms:
49 + 14x + x2 = 10 + -10 + -3x + 3x

Combine like terms: 10 + -10 = 0
49 + 14x + x2 = 0 + -3x + 3x
49 + 14x + x2 = -3x + 3x

Combine like terms: -3x + 3x = 0
49 + 14x + x2 = 0

Factor a trinomial.
(7 + x)(7 + x) = 0


Subproblem 1
Set the factor '(7 + x)' equal to zero and attempt to solve:

Simplifying
7 + x = 0

Solving
7 + x = 0

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

Add '-7' to each side of the equation.
7 + -7 + x = 0 + -7

Combine like terms: 7 + -7 = 0
0 + x = 0 + -7
x = 0 + -7

Combine like terms: 0 + -7 = -7
x = -7

Simplifying
x = -7

Subproblem 2
Set the factor '(7 + x)' equal to zero and attempt to solve:

Simplifying
7 + x = 0

Solving
7 + x = 0

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

Add '-7' to each side of the equation.
7 + -7 + x = 0 + -7

Combine like terms: 7 + -7 = 0
0 + x = 0 + -7
x = 0 + -7

Combine like terms: 0 + -7 = -7
x = -7

Simplifying
x = -7
Solution
x = {-7, -7}

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