x^2+5x-3=-7

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Solution for x^2+5x-3=-7 equation:


Simplifying
x2 + 5x + -3 = -7

Reorder the terms:
-3 + 5x + x2 = -7

Solving
-3 + 5x + x2 = -7

Solving for variable 'x'.

Reorder the terms:
-3 + 7 + 5x + x2 = -7 + 7

Combine like terms: -3 + 7 = 4
4 + 5x + x2 = -7 + 7

Combine like terms: -7 + 7 = 0
4 + 5x + x2 = 0

Factor a trinomial.
(4 + x)(1 + x) = 0

Subproblem 1

Set the factor '(4 + x)' equal to zero and attempt to solve: Simplifying 4 + x = 0 Solving 4 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + x = 0 + -4 Combine like terms: 4 + -4 = 0 0 + x = 0 + -4 x = 0 + -4 Combine like terms: 0 + -4 = -4 x = -4 Simplifying x = -4

Subproblem 2

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

Solution

x = {-4, -1}

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