x(x+30)=400

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Solution for x(x+30)=400 equation:


Simplifying
x(x + 30) = 400

Reorder the terms:
x(30 + x) = 400
(30 * x + x * x) = 400
(30x + x2) = 400

Solving
30x + x2 = 400

Solving for variable 'x'.

Reorder the terms:
-400 + 30x + x2 = 400 + -400

Combine like terms: 400 + -400 = 0
-400 + 30x + x2 = 0

Factor a trinomial.
(-40 + -1x)(10 + -1x) = 0

Subproblem 1

Set the factor '(-40 + -1x)' equal to zero and attempt to solve: Simplifying -40 + -1x = 0 Solving -40 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '40' to each side of the equation. -40 + 40 + -1x = 0 + 40 Combine like terms: -40 + 40 = 0 0 + -1x = 0 + 40 -1x = 0 + 40 Combine like terms: 0 + 40 = 40 -1x = 40 Divide each side by '-1'. x = -40 Simplifying x = -40

Subproblem 2

Set the factor '(10 + -1x)' equal to zero and attempt to solve: Simplifying 10 + -1x = 0 Solving 10 + -1x = 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 + -1x = 0 + -10 Combine like terms: 10 + -10 = 0 0 + -1x = 0 + -10 -1x = 0 + -10 Combine like terms: 0 + -10 = -10 -1x = -10 Divide each side by '-1'. x = 10 Simplifying x = 10

Solution

x = {-40, 10}

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