2x^2-13=11x+50

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Solution for 2x^2-13=11x+50 equation: 


Simplifying
2x2 + -13 = 11x + 50

Reorder the terms:
-13 + 2x2 = 11x + 50

Reorder the terms:
-13 + 2x2 = 50 + 11x

Solving
-13 + 2x2 = 50 + 11x

Solving for variable 'x'.

Reorder the terms:
-13 + -50 + -11x + 2x2 = 50 + 11x + -50 + -11x

Combine like terms: -13 + -50 = -63
-63 + -11x + 2x2 = 50 + 11x + -50 + -11x

Reorder the terms:
-63 + -11x + 2x2 = 50 + -50 + 11x + -11x

Combine like terms: 50 + -50 = 0
-63 + -11x + 2x2 = 0 + 11x + -11x
-63 + -11x + 2x2 = 11x + -11x

Combine like terms: 11x + -11x = 0
-63 + -11x + 2x2 = 0

Factor a trinomial.
(-7 + -2x)(9 + -1x) = 0


Subproblem 1
Set the factor '(-7 + -2x)' equal to zero and attempt to solve:

Simplifying
-7 + -2x = 0

Solving
-7 + -2x = 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 + -2x = 0 + 7

Combine like terms: -7 + 7 = 0
0 + -2x = 0 + 7
-2x = 0 + 7

Combine like terms: 0 + 7 = 7
-2x = 7

Divide each side by '-2'.
x = -3.5

Simplifying
x = -3.5

Subproblem 2
Set the factor '(9 + -1x)' equal to zero and attempt to solve:

Simplifying
9 + -1x = 0

Solving
9 + -1x = 0

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

Add '-9' to each side of the equation.
9 + -9 + -1x = 0 + -9

Combine like terms: 9 + -9 = 0
0 + -1x = 0 + -9
-1x = 0 + -9

Combine like terms: 0 + -9 = -9
-1x = -9

Divide each side by '-1'.
x = 9

Simplifying
x = 9
Solution
x = {-3.5, 9}

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