2x^2+28x+196=676

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Solution for 2x^2+28x+196=676 equation:


Simplifying
2x2 + 28x + 196 = 676

Reorder the terms:
196 + 28x + 2x2 = 676

Solving
196 + 28x + 2x2 = 676

Solving for variable 'x'.

Reorder the terms:
196 + -676 + 28x + 2x2 = 676 + -676

Combine like terms: 196 + -676 = -480
-480 + 28x + 2x2 = 676 + -676

Combine like terms: 676 + -676 = 0
-480 + 28x + 2x2 = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(-240 + 14x + x2) = 0

Factor a trinomial.
2((-24 + -1x)(10 + -1x)) = 0

Ignore the factor 2.

Subproblem 1

Set the factor '(-24 + -1x)' equal to zero and attempt to solve: Simplifying -24 + -1x = 0 Solving -24 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '24' to each side of the equation. -24 + 24 + -1x = 0 + 24 Combine like terms: -24 + 24 = 0 0 + -1x = 0 + 24 -1x = 0 + 24 Combine like terms: 0 + 24 = 24 -1x = 24 Divide each side by '-1'. x = -24 Simplifying x = -24

Subproblem 2

Set the factor '(10 + -1x)' equal to zero and attempt to solve: Simplifying 10 + -1x = 0 Solving 10 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + -1x = 0 + -10 Combine like terms: 10 + -10 = 0 0 + -1x = 0 + -10 -1x = 0 + -10 Combine like terms: 0 + -10 = -10 -1x = -10 Divide each side by '-1'. x = 10 Simplifying x = 10

Solution

x = {-24, 10}

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