-6x^2+20x-17=-1

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Solution for -6x^2+20x-17=-1 equation:


Simplifying
-6x2 + 20x + -17 = -1

Reorder the terms:
-17 + 20x + -6x2 = -1

Solving
-17 + 20x + -6x2 = -1

Solving for variable 'x'.

Reorder the terms:
-17 + 1 + 20x + -6x2 = -1 + 1

Combine like terms: -17 + 1 = -16
-16 + 20x + -6x2 = -1 + 1

Combine like terms: -1 + 1 = 0
-16 + 20x + -6x2 = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(-8 + 10x + -3x2) = 0

Factor a trinomial.
2((-2 + x)(4 + -3x)) = 0

Ignore the factor 2.

Subproblem 1

Set the factor '(-2 + x)' equal to zero and attempt to solve: Simplifying -2 + x = 0 Solving -2 + x = 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 + x = 0 + 2 Combine like terms: -2 + 2 = 0 0 + x = 0 + 2 x = 0 + 2 Combine like terms: 0 + 2 = 2 x = 2 Simplifying x = 2

Subproblem 2

Set the factor '(4 + -3x)' equal to zero and attempt to solve: Simplifying 4 + -3x = 0 Solving 4 + -3x = 0 Move all terms containing x to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + -3x = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -3x = 0 + -4 -3x = 0 + -4 Combine like terms: 0 + -4 = -4 -3x = -4 Divide each side by '-3'. x = 1.333333333 Simplifying x = 1.333333333

Solution

x = {2, 1.333333333}

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