13x^2+56x+75=4x^2-10x-46

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Solution for 13x^2+56x+75=4x^2-10x-46 equation: 


Simplifying
13x2 + 56x + 75 = 4x2 + -10x + -46

Reorder the terms:
75 + 56x + 13x2 = 4x2 + -10x + -46

Reorder the terms:
75 + 56x + 13x2 = -46 + -10x + 4x2

Solving
75 + 56x + 13x2 = -46 + -10x + 4x2

Solving for variable 'x'.

Reorder the terms:
75 + 46 + 56x + 10x + 13x2 + -4x2 = -46 + -10x + 4x2 + 46 + 10x + -4x2

Combine like terms: 75 + 46 = 121
121 + 56x + 10x + 13x2 + -4x2 = -46 + -10x + 4x2 + 46 + 10x + -4x2

Combine like terms: 56x + 10x = 66x
121 + 66x + 13x2 + -4x2 = -46 + -10x + 4x2 + 46 + 10x + -4x2

Combine like terms: 13x2 + -4x2 = 9x2
121 + 66x + 9x2 = -46 + -10x + 4x2 + 46 + 10x + -4x2

Reorder the terms:
121 + 66x + 9x2 = -46 + 46 + -10x + 10x + 4x2 + -4x2

Combine like terms: -46 + 46 = 0
121 + 66x + 9x2 = 0 + -10x + 10x + 4x2 + -4x2
121 + 66x + 9x2 = -10x + 10x + 4x2 + -4x2

Combine like terms: -10x + 10x = 0
121 + 66x + 9x2 = 0 + 4x2 + -4x2
121 + 66x + 9x2 = 4x2 + -4x2

Combine like terms: 4x2 + -4x2 = 0
121 + 66x + 9x2 = 0

Factor a trinomial.
(11 + 3x)(11 + 3x) = 0


Subproblem 1
Set the factor '(11 + 3x)' equal to zero and attempt to solve:

Simplifying
11 + 3x = 0

Solving
11 + 3x = 0

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

Add '-11' to each side of the equation.
11 + -11 + 3x = 0 + -11

Combine like terms: 11 + -11 = 0
0 + 3x = 0 + -11
3x = 0 + -11

Combine like terms: 0 + -11 = -11
3x = -11

Divide each side by '3'.
x = -3.666666667

Simplifying
x = -3.666666667

Subproblem 2
Set the factor '(11 + 3x)' equal to zero and attempt to solve:

Simplifying
11 + 3x = 0

Solving
11 + 3x = 0

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

Add '-11' to each side of the equation.
11 + -11 + 3x = 0 + -11

Combine like terms: 11 + -11 = 0
0 + 3x = 0 + -11
3x = 0 + -11

Combine like terms: 0 + -11 = -11
3x = -11

Divide each side by '3'.
x = -3.666666667

Simplifying
x = -3.666666667
Solution
x = {-3.666666667, -3.666666667}

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