-3(x^2-17x+30)=0

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Solution for -3(x^2-17x+30)=0 equation:


Simplifying
-3(x2 + -17x + 30) = 0

Reorder the terms:
-3(30 + -17x + x2) = 0
(30 * -3 + -17x * -3 + x2 * -3) = 0
(-90 + 51x + -3x2) = 0

Solving
-90 + 51x + -3x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '3'.
3(-30 + 17x + -1x2) = 0

Factor a trinomial.
3((-15 + x)(2 + -1x)) = 0

Ignore the factor 3.

Subproblem 1

Set the factor '(-15 + x)' equal to zero and attempt to solve: Simplifying -15 + x = 0 Solving -15 + x = 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 + x = 0 + 15 Combine like terms: -15 + 15 = 0 0 + x = 0 + 15 x = 0 + 15 Combine like terms: 0 + 15 = 15 x = 15 Simplifying x = 15

Subproblem 2

Set the factor '(2 + -1x)' equal to zero and attempt to solve: Simplifying 2 + -1x = 0 Solving 2 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -1x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -1x = 0 + -2 -1x = 0 + -2 Combine like terms: 0 + -2 = -2 -1x = -2 Divide each side by '-1'. x = 2 Simplifying x = 2

Solution

x = {15, 2}

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