22x^2-66x-616=0

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Solution for 22x^2-66x-616=0 equation:


Simplifying
22x2 + -66x + -616 = 0

Reorder the terms:
-616 + -66x + 22x2 = 0

Solving
-616 + -66x + 22x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '22'.
22(-28 + -3x + x2) = 0

Factor a trinomial.
22((-4 + -1x)(7 + -1x)) = 0

Ignore the factor 22.

Subproblem 1

Set the factor '(-4 + -1x)' equal to zero and attempt to solve: Simplifying -4 + -1x = 0 Solving -4 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 4 + -1x = 0 + 4 Combine like terms: -4 + 4 = 0 0 + -1x = 0 + 4 -1x = 0 + 4 Combine like terms: 0 + 4 = 4 -1x = 4 Divide each side by '-1'. x = -4 Simplifying x = -4

Subproblem 2

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

Solution

x = {-4, 7}

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