10=x^2+3x+10

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


Simplifying
10 = x2 + 3x + 10

Reorder the terms:
10 = 10 + 3x + x2

Add '-10' to each side of the equation.
10 + -10 = 10 + 3x + -10 + x2

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

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

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

Solving
0 = 3x + x2

Solving for variable 'x'.
Remove the zero:
-3x + -1x2 = 3x + x2 + -3x + -1x2

Reorder the terms:
-3x + -1x2 = 3x + -3x + x2 + -1x2

Combine like terms: 3x + -3x = 0
-3x + -1x2 = 0 + x2 + -1x2
-3x + -1x2 = x2 + -1x2

Combine like terms: x2 + -1x2 = 0
-3x + -1x2 = 0

Factor out the Greatest Common Factor (GCF), '-1x'.
-1x(3 + x) = 0

Ignore the factor -1.

Subproblem 1

Set the factor 'x' equal to zero and attempt to solve: Simplifying x = 0 Solving x = 0 Move all terms containing x to the left, all other terms to the right. Simplifying x = 0

Subproblem 2

Set the factor '(3 + x)' equal to zero and attempt to solve: Simplifying 3 + x = 0 Solving 3 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + x = 0 + -3 x = 0 + -3 Combine like terms: 0 + -3 = -3 x = -3 Simplifying x = -3

Solution

x = {0, -3}

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