30(x)+x(5x)=3080

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Solution for 30(x)+x(5x)=3080 equation:


Simplifying
30(x) + x(5x) = 3080

Remove parenthesis around (5x)
30x + x * 5x = 3080

Reorder the terms for easier multiplication:
30x + 5x * x = 3080

Multiply x * x
30x + 5x2 = 3080

Solving
30x + 5x2 = 3080

Solving for variable 'x'.

Reorder the terms:
-3080 + 30x + 5x2 = 3080 + -3080

Combine like terms: 3080 + -3080 = 0
-3080 + 30x + 5x2 = 0

Factor out the Greatest Common Factor (GCF), '5'.
5(-616 + 6x + x2) = 0

Factor a trinomial.
5((-28 + -1x)(22 + -1x)) = 0

Ignore the factor 5.

Subproblem 1

Set the factor '(-28 + -1x)' equal to zero and attempt to solve: Simplifying -28 + -1x = 0 Solving -28 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '28' to each side of the equation. -28 + 28 + -1x = 0 + 28 Combine like terms: -28 + 28 = 0 0 + -1x = 0 + 28 -1x = 0 + 28 Combine like terms: 0 + 28 = 28 -1x = 28 Divide each side by '-1'. x = -28 Simplifying x = -28

Subproblem 2

Set the factor '(22 + -1x)' equal to zero and attempt to solve: Simplifying 22 + -1x = 0 Solving 22 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-22' to each side of the equation. 22 + -22 + -1x = 0 + -22 Combine like terms: 22 + -22 = 0 0 + -1x = 0 + -22 -1x = 0 + -22 Combine like terms: 0 + -22 = -22 -1x = -22 Divide each side by '-1'. x = 22 Simplifying x = 22

Solution

x = {-28, 22}

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