(x*x)+(5*x)=750

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Solution for (x*x)+(5*x)=750 equation:


Simplifying
(x * x) + (5x) = 750

Multiply x * x
(x2) + (5x) = 750
x2 + (5x) = 750

Reorder the terms:
(5x) + x2 = 750

Solving
(5x) + x2 = 750

Solving for variable 'x'.

Reorder the terms:
-750 + (5x) + x2 = 750 + -750

Combine like terms: 750 + -750 = 0
-750 + (5x) + x2 = 0

Factor a trinomial.
(-30 + -1x)(25 + -1x) = 0

Subproblem 1

Set the factor '(-30 + -1x)' equal to zero and attempt to solve: Simplifying -30 + -1x = 0 Solving -30 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '30' to each side of the equation. -30 + 30 + -1x = 0 + 30 Combine like terms: -30 + 30 = 0 0 + -1x = 0 + 30 -1x = 0 + 30 Combine like terms: 0 + 30 = 30 -1x = 30 Divide each side by '-1'. x = -30 Simplifying x = -30

Subproblem 2

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

Solution

x = {-30, 25}

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