2x^2-28x-2=-50

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Solution for 2x^2-28x-2=-50 equation:


Simplifying
2x2 + -28x + -2 = -50

Reorder the terms:
-2 + -28x + 2x2 = -50

Solving
-2 + -28x + 2x2 = -50

Solving for variable 'x'.

Reorder the terms:
-2 + 50 + -28x + 2x2 = -50 + 50

Combine like terms: -2 + 50 = 48
48 + -28x + 2x2 = -50 + 50

Combine like terms: -50 + 50 = 0
48 + -28x + 2x2 = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(24 + -14x + x2) = 0

Factor a trinomial.
2((2 + -1x)(12 + -1x)) = 0

Ignore the factor 2.

Subproblem 1

Set the factor '(2 + -1x)' equal to zero and attempt to solve: Simplifying 2 + -1x = 0 Solving 2 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -1x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -1x = 0 + -2 -1x = 0 + -2 Combine like terms: 0 + -2 = -2 -1x = -2 Divide each side by '-1'. x = 2 Simplifying x = 2

Subproblem 2

Set the factor '(12 + -1x)' equal to zero and attempt to solve: Simplifying 12 + -1x = 0 Solving 12 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + -12 + -1x = 0 + -12 Combine like terms: 12 + -12 = 0 0 + -1x = 0 + -12 -1x = 0 + -12 Combine like terms: 0 + -12 = -12 -1x = -12 Divide each side by '-1'. x = 12 Simplifying x = 12

Solution

x = {2, 12}

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