3(196+-28x+x^2)=0

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Solution for 3(196+-28x+x^2)=0 equation:


Simplifying
3(196 + -28x + x2) = 0
(196 * 3 + -28x * 3 + x2 * 3) = 0
(588 + -84x + 3x2) = 0

Solving
588 + -84x + 3x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '3'.
3(196 + -28x + x2) = 0

Factor a trinomial.
3((14 + -1x)(14 + -1x)) = 0

Ignore the factor 3.

Subproblem 1

Set the factor '(14 + -1x)' equal to zero and attempt to solve: Simplifying 14 + -1x = 0 Solving 14 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-14' to each side of the equation. 14 + -14 + -1x = 0 + -14 Combine like terms: 14 + -14 = 0 0 + -1x = 0 + -14 -1x = 0 + -14 Combine like terms: 0 + -14 = -14 -1x = -14 Divide each side by '-1'. x = 14 Simplifying x = 14

Subproblem 2

Set the factor '(14 + -1x)' equal to zero and attempt to solve: Simplifying 14 + -1x = 0 Solving 14 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-14' to each side of the equation. 14 + -14 + -1x = 0 + -14 Combine like terms: 14 + -14 = 0 0 + -1x = 0 + -14 -1x = 0 + -14 Combine like terms: 0 + -14 = -14 -1x = -14 Divide each side by '-1'. x = 14 Simplifying x = 14

Solution

x = {14, 14}

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