5x^2-26x+18=-6

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Solution for 5x^2-26x+18=-6 equation:


Simplifying
5x2 + -26x + 18 = -6

Reorder the terms:
18 + -26x + 5x2 = -6

Solving
18 + -26x + 5x2 = -6

Solving for variable 'x'.

Reorder the terms:
18 + 6 + -26x + 5x2 = -6 + 6

Combine like terms: 18 + 6 = 24
24 + -26x + 5x2 = -6 + 6

Combine like terms: -6 + 6 = 0
24 + -26x + 5x2 = 0

Factor a trinomial.
(6 + -5x)(4 + -1x) = 0

Subproblem 1

Set the factor '(6 + -5x)' equal to zero and attempt to solve: Simplifying 6 + -5x = 0 Solving 6 + -5x = 0 Move all terms containing x to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + -5x = 0 + -6 Combine like terms: 6 + -6 = 0 0 + -5x = 0 + -6 -5x = 0 + -6 Combine like terms: 0 + -6 = -6 -5x = -6 Divide each side by '-5'. x = 1.2 Simplifying x = 1.2

Subproblem 2

Set the factor '(4 + -1x)' equal to zero and attempt to solve: Simplifying 4 + -1x = 0 Solving 4 + -1x = 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 + -1x = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -1x = 0 + -4 -1x = 0 + -4 Combine like terms: 0 + -4 = -4 -1x = -4 Divide each side by '-1'. x = 4 Simplifying x = 4

Solution

x = {1.2, 4}

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