x^2+9x=400

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Solution for x^2+9x=400 equation:


Simplifying
x2 + 9x = 400

Reorder the terms:
9x + x2 = 400

Solving
9x + x2 = 400

Solving for variable 'x'.

Reorder the terms:
-400 + 9x + x2 = 400 + -400

Combine like terms: 400 + -400 = 0
-400 + 9x + x2 = 0

Factor a trinomial.
(-25 + -1x)(16 + -1x) = 0

Subproblem 1

Set the factor '(-25 + -1x)' equal to zero and attempt to solve: Simplifying -25 + -1x = 0 Solving -25 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '25' to each side of the equation. -25 + 25 + -1x = 0 + 25 Combine like terms: -25 + 25 = 0 0 + -1x = 0 + 25 -1x = 0 + 25 Combine like terms: 0 + 25 = 25 -1x = 25 Divide each side by '-1'. x = -25 Simplifying x = -25

Subproblem 2

Set the factor '(16 + -1x)' equal to zero and attempt to solve: Simplifying 16 + -1x = 0 Solving 16 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-16' to each side of the equation. 16 + -16 + -1x = 0 + -16 Combine like terms: 16 + -16 = 0 0 + -1x = 0 + -16 -1x = 0 + -16 Combine like terms: 0 + -16 = -16 -1x = -16 Divide each side by '-1'. x = 16 Simplifying x = 16

Solution

x = {-25, 16}

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