6x^2+58x=20

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Solution for 6x^2+58x=20 equation:


Simplifying
6x2 + 58x = 20

Reorder the terms:
58x + 6x2 = 20

Solving
58x + 6x2 = 20

Solving for variable 'x'.

Reorder the terms:
-20 + 58x + 6x2 = 20 + -20

Combine like terms: 20 + -20 = 0
-20 + 58x + 6x2 = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(-10 + 29x + 3x2) = 0

Factor a trinomial.
2((-10 + -1x)(1 + -3x)) = 0

Ignore the factor 2.

Subproblem 1

Set the factor '(-10 + -1x)' equal to zero and attempt to solve: Simplifying -10 + -1x = 0 Solving -10 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '10' to each side of the equation. -10 + 10 + -1x = 0 + 10 Combine like terms: -10 + 10 = 0 0 + -1x = 0 + 10 -1x = 0 + 10 Combine like terms: 0 + 10 = 10 -1x = 10 Divide each side by '-1'. x = -10 Simplifying x = -10

Subproblem 2

Set the factor '(1 + -3x)' equal to zero and attempt to solve: Simplifying 1 + -3x = 0 Solving 1 + -3x = 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 + -3x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -3x = 0 + -1 -3x = 0 + -1 Combine like terms: 0 + -1 = -1 -3x = -1 Divide each side by '-3'. x = 0.3333333333 Simplifying x = 0.3333333333

Solution

x = {-10, 0.3333333333}

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