3x^2-4x+15x-60=0

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Solution for 3x^2-4x+15x-60=0 equation:


Simplifying
3x2 + -4x + 15x + -60 = 0

Reorder the terms:
-60 + -4x + 15x + 3x2 = 0

Combine like terms: -4x + 15x = 11x
-60 + 11x + 3x2 = 0

Solving
-60 + 11x + 3x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(-20 + -3x)(3 + -1x) = 0

Subproblem 1

Set the factor '(-20 + -3x)' equal to zero and attempt to solve: Simplifying -20 + -3x = 0 Solving -20 + -3x = 0 Move all terms containing x to the left, all other terms to the right. Add '20' to each side of the equation. -20 + 20 + -3x = 0 + 20 Combine like terms: -20 + 20 = 0 0 + -3x = 0 + 20 -3x = 0 + 20 Combine like terms: 0 + 20 = 20 -3x = 20 Divide each side by '-3'. x = -6.666666667 Simplifying x = -6.666666667

Subproblem 2

Set the factor '(3 + -1x)' equal to zero and attempt to solve: Simplifying 3 + -1x = 0 Solving 3 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -1x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -1x = 0 + -3 -1x = 0 + -3 Combine like terms: 0 + -3 = -3 -1x = -3 Divide each side by '-1'. x = 3 Simplifying x = 3

Solution

x = {-6.666666667, 3}

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