18x^2-80x+78=0

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Solution for 18x^2-80x+78=0 equation:


Simplifying
18x2 + -80x + 78 = 0

Reorder the terms:
78 + -80x + 18x2 = 0

Solving
78 + -80x + 18x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2'.
2(39 + -40x + 9x2) = 0

Factor a trinomial.
2((13 + -9x)(3 + -1x)) = 0

Ignore the factor 2.

Subproblem 1

Set the factor '(13 + -9x)' equal to zero and attempt to solve: Simplifying 13 + -9x = 0 Solving 13 + -9x = 0 Move all terms containing x to the left, all other terms to the right. Add '-13' to each side of the equation. 13 + -13 + -9x = 0 + -13 Combine like terms: 13 + -13 = 0 0 + -9x = 0 + -13 -9x = 0 + -13 Combine like terms: 0 + -13 = -13 -9x = -13 Divide each side by '-9'. x = 1.444444444 Simplifying x = 1.444444444

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 = {1.444444444, 3}

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