3x^2+30x=6000

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Solution for 3x^2+30x=6000 equation:


Simplifying
3x2 + 30x = 6000

Reorder the terms:
30x + 3x2 = 6000

Solving
30x + 3x2 = 6000

Solving for variable 'x'.

Reorder the terms:
-6000 + 30x + 3x2 = 6000 + -6000

Combine like terms: 6000 + -6000 = 0
-6000 + 30x + 3x2 = 0

Factor out the Greatest Common Factor (GCF), '3'.
3(-2000 + 10x + x2) = 0

Factor a trinomial.
3((-50 + -1x)(40 + -1x)) = 0

Ignore the factor 3.

Subproblem 1

Set the factor '(-50 + -1x)' equal to zero and attempt to solve: Simplifying -50 + -1x = 0 Solving -50 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '50' to each side of the equation. -50 + 50 + -1x = 0 + 50 Combine like terms: -50 + 50 = 0 0 + -1x = 0 + 50 -1x = 0 + 50 Combine like terms: 0 + 50 = 50 -1x = 50 Divide each side by '-1'. x = -50 Simplifying x = -50

Subproblem 2

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

Solution

x = {-50, 40}

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