9000x^2-6000x-15000=0

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Solution for 9000x^2-6000x-15000=0 equation:


Simplifying
9000x2 + -6000x + -15000 = 0

Reorder the terms:
-15000 + -6000x + 9000x2 = 0

Solving
-15000 + -6000x + 9000x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '3000'.
3000(-5 + -2x + 3x2) = 0

Factor a trinomial.
3000((-1 + -1x)(5 + -3x)) = 0

Ignore the factor 3000.

Subproblem 1

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

Subproblem 2

Set the factor '(5 + -3x)' equal to zero and attempt to solve: Simplifying 5 + -3x = 0 Solving 5 + -3x = 0 Move all terms containing x to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + -3x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -3x = 0 + -5 -3x = 0 + -5 Combine like terms: 0 + -5 = -5 -3x = -5 Divide each side by '-3'. x = 1.666666667 Simplifying x = 1.666666667

Solution

x = {-1, 1.666666667}

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