225=x^2+40x

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Solution for 225=x^2+40x equation:


Simplifying
225 = x2 + 40x

Reorder the terms:
225 = 40x + x2

Solving
225 = 40x + x2

Solving for variable 'x'.

Reorder the terms:
225 + -40x + -1x2 = 40x + -40x + x2 + -1x2

Combine like terms: 40x + -40x = 0
225 + -40x + -1x2 = 0 + x2 + -1x2
225 + -40x + -1x2 = x2 + -1x2

Combine like terms: x2 + -1x2 = 0
225 + -40x + -1x2 = 0

Factor a trinomial.
(5 + -1x)(45 + x) = 0

Subproblem 1

Set the factor '(5 + -1x)' equal to zero and attempt to solve: Simplifying 5 + -1x = 0 Solving 5 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + -1x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -1x = 0 + -5 -1x = 0 + -5 Combine like terms: 0 + -5 = -5 -1x = -5 Divide each side by '-1'. x = 5 Simplifying x = 5

Subproblem 2

Set the factor '(45 + x)' equal to zero and attempt to solve: Simplifying 45 + x = 0 Solving 45 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-45' to each side of the equation. 45 + -45 + x = 0 + -45 Combine like terms: 45 + -45 = 0 0 + x = 0 + -45 x = 0 + -45 Combine like terms: 0 + -45 = -45 x = -45 Simplifying x = -45

Solution

x = {5, -45}

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