x^2+7x+10+x-3=

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Solution for x^2+7x+10+x-3= equation:


Simplifying
x2 + 7x + 10 + x + -3 = 0

Reorder the terms:
10 + -3 + 7x + x + x2 = 0

Combine like terms: 10 + -3 = 7
7 + 7x + x + x2 = 0

Combine like terms: 7x + x = 8x
7 + 8x + x2 = 0

Solving
7 + 8x + x2 = 0

Solving for variable 'x'.

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

Subproblem 1

Set the factor '(7 + x)' equal to zero and attempt to solve: Simplifying 7 + x = 0 Solving 7 + x = 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 + x = 0 + -7 Combine like terms: 7 + -7 = 0 0 + x = 0 + -7 x = 0 + -7 Combine like terms: 0 + -7 = -7 x = -7 Simplifying x = -7

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 = {-7, -1}

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