5+x(x-5)=19

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Solution for 5+x(x-5)=19 equation:


Simplifying
5 + x(x + -5) = 19

Reorder the terms:
5 + x(-5 + x) = 19
5 + (-5 * x + x * x) = 19
5 + (-5x + x2) = 19

Solving
5 + -5x + x2 = 19

Solving for variable 'x'.

Reorder the terms:
5 + -19 + -5x + x2 = 19 + -19

Combine like terms: 5 + -19 = -14
-14 + -5x + x2 = 19 + -19

Combine like terms: 19 + -19 = 0
-14 + -5x + x2 = 0

Factor a trinomial.
(-2 + -1x)(7 + -1x) = 0

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 '(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 = {-2, 7}

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