x^2+2x-103=-4

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Solution for x^2+2x-103=-4 equation:


Simplifying
x2 + 2x + -103 = -4

Reorder the terms:
-103 + 2x + x2 = -4

Solving
-103 + 2x + x2 = -4

Solving for variable 'x'.

Reorder the terms:
-103 + 4 + 2x + x2 = -4 + 4

Combine like terms: -103 + 4 = -99
-99 + 2x + x2 = -4 + 4

Combine like terms: -4 + 4 = 0
-99 + 2x + x2 = 0

Factor a trinomial.
(-11 + -1x)(9 + -1x) = 0

Subproblem 1

Set the factor '(-11 + -1x)' equal to zero and attempt to solve: Simplifying -11 + -1x = 0 Solving -11 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '11' to each side of the equation. -11 + 11 + -1x = 0 + 11 Combine like terms: -11 + 11 = 0 0 + -1x = 0 + 11 -1x = 0 + 11 Combine like terms: 0 + 11 = 11 -1x = 11 Divide each side by '-1'. x = -11 Simplifying x = -11

Subproblem 2

Set the factor '(9 + -1x)' equal to zero and attempt to solve: Simplifying 9 + -1x = 0 Solving 9 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + -1x = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -1x = 0 + -9 -1x = 0 + -9 Combine like terms: 0 + -9 = -9 -1x = -9 Divide each side by '-1'. x = 9 Simplifying x = 9

Solution

x = {-11, 9}

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