(2x^2+50)+(4x+60)=180

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Solution for (2x^2+50)+(4x+60)=180 equation:


Simplifying
(2x2 + 50) + (4x + 60) = 180

Reorder the terms:
(50 + 2x2) + (4x + 60) = 180

Remove parenthesis around (50 + 2x2)
50 + 2x2 + (4x + 60) = 180

Reorder the terms:
50 + 2x2 + (60 + 4x) = 180

Remove parenthesis around (60 + 4x)
50 + 2x2 + 60 + 4x = 180

Reorder the terms:
50 + 60 + 4x + 2x2 = 180

Combine like terms: 50 + 60 = 110
110 + 4x + 2x2 = 180

Solving
110 + 4x + 2x2 = 180

Solving for variable 'x'.

Reorder the terms:
110 + -180 + 4x + 2x2 = 180 + -180

Combine like terms: 110 + -180 = -70
-70 + 4x + 2x2 = 180 + -180

Combine like terms: 180 + -180 = 0
-70 + 4x + 2x2 = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(-35 + 2x + x2) = 0

Factor a trinomial.
2((-7 + -1x)(5 + -1x)) = 0

Ignore the factor 2.

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

Simplifying
-7 + -1x = 0

Solving
-7 + -1x = 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 + -1x = 0 + 7

Combine like terms: -7 + 7 = 0
0 + -1x = 0 + 7
-1x = 0 + 7

Combine like terms: 0 + 7 = 7
-1x = 7

Divide each side by '-1'.
x = -7

Simplifying
x = -7

Subproblem 2
Set the factor '(5 + -1x)' equal to zero and attempt to solve:

Simplifying
5 + -1x = 0

Solving
5 + -1x = 0

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

Add '-5' to each side of the equation.
5 + -5 + -1x = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -1x = 0 + -5
-1x = 0 + -5

Combine like terms: 0 + -5 = -5
-1x = -5

Divide each side by '-1'.
x = 5

Simplifying
x = 5
Solution
x = {-7, 5}

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