5+x(x-3)=15

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Solution for 5+x(x-3)=15 equation:


Simplifying
5 + x(x + -3) = 15

Reorder the terms:
5 + x(-3 + x) = 15
5 + (-3 * x + x * x) = 15
5 + (-3x + x2) = 15

Solving
5 + -3x + x2 = 15

Solving for variable 'x'.

Reorder the terms:
5 + -15 + -3x + x2 = 15 + -15

Combine like terms: 5 + -15 = -10
-10 + -3x + x2 = 15 + -15

Combine like terms: 15 + -15 = 0
-10 + -3x + x2 = 0

Factor a trinomial.
(-2 + -1x)(5 + -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 '(5 + -1x)' equal to zero and attempt to solve: Simplifying 5 + -1x = 0 Solving 5 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + -1x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -1x = 0 + -5 -1x = 0 + -5 Combine like terms: 0 + -5 = -5 -1x = -5 Divide each side by '-1'. x = 5 Simplifying x = 5

Solution

x = {-2, 5}

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