x^2+30x=675

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Solution for x^2+30x=675 equation:


Simplifying
x2 + 30x = 675

Reorder the terms:
30x + x2 = 675

Solving
30x + x2 = 675

Solving for variable 'x'.

Reorder the terms:
-675 + 30x + x2 = 675 + -675

Combine like terms: 675 + -675 = 0
-675 + 30x + x2 = 0

Factor a trinomial.
(-45 + -1x)(15 + -1x) = 0

Subproblem 1

Set the factor '(-45 + -1x)' equal to zero and attempt to solve: Simplifying -45 + -1x = 0 Solving -45 + -1x = 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 + -1x = 0 + 45 Combine like terms: -45 + 45 = 0 0 + -1x = 0 + 45 -1x = 0 + 45 Combine like terms: 0 + 45 = 45 -1x = 45 Divide each side by '-1'. x = -45 Simplifying x = -45

Subproblem 2

Set the factor '(15 + -1x)' equal to zero and attempt to solve: Simplifying 15 + -1x = 0 Solving 15 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-15' to each side of the equation. 15 + -15 + -1x = 0 + -15 Combine like terms: 15 + -15 = 0 0 + -1x = 0 + -15 -1x = 0 + -15 Combine like terms: 0 + -15 = -15 -1x = -15 Divide each side by '-1'. x = 15 Simplifying x = 15

Solution

x = {-45, 15}

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