x*x-x=870

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Solution for x*x-x=870 equation:


Simplifying
x * x + -1x = 870

Multiply x * x
x2 + -1x = 870

Reorder the terms:
-1x + x2 = 870

Solving
-1x + x2 = 870

Solving for variable 'x'.

Reorder the terms:
-870 + -1x + x2 = 870 + -870

Combine like terms: 870 + -870 = 0
-870 + -1x + x2 = 0

Factor a trinomial.
(-29 + -1x)(30 + -1x) = 0

Subproblem 1

Set the factor '(-29 + -1x)' equal to zero and attempt to solve: Simplifying -29 + -1x = 0 Solving -29 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '29' to each side of the equation. -29 + 29 + -1x = 0 + 29 Combine like terms: -29 + 29 = 0 0 + -1x = 0 + 29 -1x = 0 + 29 Combine like terms: 0 + 29 = 29 -1x = 29 Divide each side by '-1'. x = -29 Simplifying x = -29

Subproblem 2

Set the factor '(30 + -1x)' equal to zero and attempt to solve: Simplifying 30 + -1x = 0 Solving 30 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-30' to each side of the equation. 30 + -30 + -1x = 0 + -30 Combine like terms: 30 + -30 = 0 0 + -1x = 0 + -30 -1x = 0 + -30 Combine like terms: 0 + -30 = -30 -1x = -30 Divide each side by '-1'. x = 30 Simplifying x = 30

Solution

x = {-29, 30}

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