2x+40+(2x*2x)+6x=180

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Solution for 2x+40+(2x*2x)+6x=180 equation: 


Simplifying
2x + 40 + (2x * 2x) + 6x = 180

Reorder the terms for easier multiplication:
2x + 40 + (2 * 2x * x) + 6x = 180

Multiply 2 * 2
2x + 40 + (4x * x) + 6x = 180

Multiply x * x
2x + 40 + (4x2) + 6x = 180

Reorder the terms:
40 + 2x + 6x + (4x2) = 180

Combine like terms: 2x + 6x = 8x
40 + 8x + (4x2) = 180

Solving
40 + 8x + (4x2) = 180

Solving for variable 'x'.

Reorder the terms:
40 + -180 + 8x + (4x2) = 180 + -180

Combine like terms: 40 + -180 = -140
-140 + 8x + (4x2) = 180 + -180

Combine like terms: 180 + -180 = 0
-140 + 8x + (4x2) = 0

Factor out the Greatest Common Factor (GCF), '4'.
4(-35 + 2x + x2) = 0

Factor a trinomial.
4((-7 + -1x)(5 + -1x)) = 0

Ignore the factor 4.

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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