x(x+3)+2(x-7)=0

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Solution for x(x+3)+2(x-7)=0 equation:


Simplifying
x(x + 3) + 2(x + -7) = 0

Reorder the terms:
x(3 + x) + 2(x + -7) = 0
(3 * x + x * x) + 2(x + -7) = 0
(3x + x2) + 2(x + -7) = 0

Reorder the terms:
3x + x2 + 2(-7 + x) = 0
3x + x2 + (-7 * 2 + x * 2) = 0
3x + x2 + (-14 + 2x) = 0

Reorder the terms:
-14 + 3x + 2x + x2 = 0

Combine like terms: 3x + 2x = 5x
-14 + 5x + x2 = 0

Solving
-14 + 5x + x2 = 0

Solving for variable 'x'.

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

Subproblem 1

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

Subproblem 2

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

Solution

x = {-7, 2}

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