0=x^2+9x-10

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Solution for 0=x^2+9x-10 equation:


Simplifying
0 = x2 + 9x + -10

Reorder the terms:
0 = -10 + 9x + x2

Solving
0 = -10 + 9x + x2

Solving for variable 'x'.

Combine like terms: 0 + 10 = 10
10 + -9x + -1x2 = -10 + 9x + x2 + 10 + -9x + -1x2

Reorder the terms:
10 + -9x + -1x2 = -10 + 10 + 9x + -9x + x2 + -1x2

Combine like terms: -10 + 10 = 0
10 + -9x + -1x2 = 0 + 9x + -9x + x2 + -1x2
10 + -9x + -1x2 = 9x + -9x + x2 + -1x2

Combine like terms: 9x + -9x = 0
10 + -9x + -1x2 = 0 + x2 + -1x2
10 + -9x + -1x2 = x2 + -1x2

Combine like terms: x2 + -1x2 = 0
10 + -9x + -1x2 = 0

Factor a trinomial.
(1 + -1x)(10 + x) = 0

Subproblem 1

Set the factor '(1 + -1x)' equal to zero and attempt to solve: Simplifying 1 + -1x = 0 Solving 1 + -1x = 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 + -1x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -1x = 0 + -1 -1x = 0 + -1 Combine like terms: 0 + -1 = -1 -1x = -1 Divide each side by '-1'. x = 1 Simplifying x = 1

Subproblem 2

Set the factor '(10 + x)' equal to zero and attempt to solve: Simplifying 10 + x = 0 Solving 10 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + x = 0 + -10 Combine like terms: 10 + -10 = 0 0 + x = 0 + -10 x = 0 + -10 Combine like terms: 0 + -10 = -10 x = -10 Simplifying x = -10

Solution

x = {1, -10}

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