x(x+14)=51

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Solution for x(x+14)=51 equation:


Simplifying
x(x + 14) = 51

Reorder the terms:
x(14 + x) = 51
(14 * x + x * x) = 51
(14x + x2) = 51

Solving
14x + x2 = 51

Solving for variable 'x'.

Reorder the terms:
-51 + 14x + x2 = 51 + -51

Combine like terms: 51 + -51 = 0
-51 + 14x + x2 = 0

Factor a trinomial.
(-17 + -1x)(3 + -1x) = 0

Subproblem 1

Set the factor '(-17 + -1x)' equal to zero and attempt to solve: Simplifying -17 + -1x = 0 Solving -17 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '17' to each side of the equation. -17 + 17 + -1x = 0 + 17 Combine like terms: -17 + 17 = 0 0 + -1x = 0 + 17 -1x = 0 + 17 Combine like terms: 0 + 17 = 17 -1x = 17 Divide each side by '-1'. x = -17 Simplifying x = -17

Subproblem 2

Set the factor '(3 + -1x)' equal to zero and attempt to solve: Simplifying 3 + -1x = 0 Solving 3 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -1x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -1x = 0 + -3 -1x = 0 + -3 Combine like terms: 0 + -3 = -3 -1x = -3 Divide each side by '-1'. x = 3 Simplifying x = 3

Solution

x = {-17, 3}

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