126x^2-246x+68=8

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Solution for 126x^2-246x+68=8 equation:


Simplifying
126x2 + -246x + 68 = 8

Reorder the terms:
68 + -246x + 126x2 = 8

Solving
68 + -246x + 126x2 = 8

Solving for variable 'x'.

Reorder the terms:
68 + -8 + -246x + 126x2 = 8 + -8

Combine like terms: 68 + -8 = 60
60 + -246x + 126x2 = 8 + -8

Combine like terms: 8 + -8 = 0
60 + -246x + 126x2 = 0

Factor out the Greatest Common Factor (GCF), '6'.
6(10 + -41x + 21x2) = 0

Factor a trinomial.
6((2 + -7x)(5 + -3x)) = 0

Ignore the factor 6.

Subproblem 1

Set the factor '(2 + -7x)' equal to zero and attempt to solve: Simplifying 2 + -7x = 0 Solving 2 + -7x = 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 + -7x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -7x = 0 + -2 -7x = 0 + -2 Combine like terms: 0 + -2 = -2 -7x = -2 Divide each side by '-7'. x = 0.2857142857 Simplifying x = 0.2857142857

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 = {0.2857142857, 1.666666667}

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