x^2+23x=420

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Solution for x^2+23x=420 equation:


Simplifying
x2 + 23x = 420

Reorder the terms:
23x + x2 = 420

Solving
23x + x2 = 420

Solving for variable 'x'.

Reorder the terms:
-420 + 23x + x2 = 420 + -420

Combine like terms: 420 + -420 = 0
-420 + 23x + x2 = 0

Factor a trinomial.
(-35 + -1x)(12 + -1x) = 0

Subproblem 1

Set the factor '(-35 + -1x)' equal to zero and attempt to solve: Simplifying -35 + -1x = 0 Solving -35 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '35' to each side of the equation. -35 + 35 + -1x = 0 + 35 Combine like terms: -35 + 35 = 0 0 + -1x = 0 + 35 -1x = 0 + 35 Combine like terms: 0 + 35 = 35 -1x = 35 Divide each side by '-1'. x = -35 Simplifying x = -35

Subproblem 2

Set the factor '(12 + -1x)' equal to zero and attempt to solve: Simplifying 12 + -1x = 0 Solving 12 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + -12 + -1x = 0 + -12 Combine like terms: 12 + -12 = 0 0 + -1x = 0 + -12 -1x = 0 + -12 Combine like terms: 0 + -12 = -12 -1x = -12 Divide each side by '-1'. x = 12 Simplifying x = 12

Solution

x = {-35, 12}

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