5x^2+36x+50=1-6x

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Solution for 5x^2+36x+50=1-6x equation:


Simplifying
5x2 + 36x + 50 = 1 + -6x

Reorder the terms:
50 + 36x + 5x2 = 1 + -6x

Solving
50 + 36x + 5x2 = 1 + -6x

Solving for variable 'x'.

Reorder the terms:
50 + -1 + 36x + 6x + 5x2 = 1 + -6x + -1 + 6x

Combine like terms: 50 + -1 = 49
49 + 36x + 6x + 5x2 = 1 + -6x + -1 + 6x

Combine like terms: 36x + 6x = 42x
49 + 42x + 5x2 = 1 + -6x + -1 + 6x

Reorder the terms:
49 + 42x + 5x2 = 1 + -1 + -6x + 6x

Combine like terms: 1 + -1 = 0
49 + 42x + 5x2 = 0 + -6x + 6x
49 + 42x + 5x2 = -6x + 6x

Combine like terms: -6x + 6x = 0
49 + 42x + 5x2 = 0

Factor a trinomial.
(7 + x)(7 + 5x) = 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 + 5x)' equal to zero and attempt to solve:

Simplifying
7 + 5x = 0

Solving
7 + 5x = 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 + 5x = 0 + -7

Combine like terms: 7 + -7 = 0
0 + 5x = 0 + -7
5x = 0 + -7

Combine like terms: 0 + -7 = -7
5x = -7

Divide each side by '5'.
x = -1.4

Simplifying
x = -1.4
Solution
x = {-7, -1.4}

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