6x^2=95x+119

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Solution for 6x^2=95x+119 equation:


Simplifying
6x2 = 95x + 119

Reorder the terms:
6x2 = 119 + 95x

Solving
6x2 = 119 + 95x

Solving for variable 'x'.

Reorder the terms:
-119 + -95x + 6x2 = 119 + 95x + -119 + -95x

Reorder the terms:
-119 + -95x + 6x2 = 119 + -119 + 95x + -95x

Combine like terms: 119 + -119 = 0
-119 + -95x + 6x2 = 0 + 95x + -95x
-119 + -95x + 6x2 = 95x + -95x

Combine like terms: 95x + -95x = 0
-119 + -95x + 6x2 = 0

Factor a trinomial.
(-7 + -6x)(17 + -1x) = 0

Subproblem 1

Set the factor '(-7 + -6x)' equal to zero and attempt to solve: Simplifying -7 + -6x = 0 Solving -7 + -6x = 0 Move all terms containing x to the left, all other terms to the right. Add '7' to each side of the equation. -7 + 7 + -6x = 0 + 7 Combine like terms: -7 + 7 = 0 0 + -6x = 0 + 7 -6x = 0 + 7 Combine like terms: 0 + 7 = 7 -6x = 7 Divide each side by '-6'. x = -1.166666667 Simplifying x = -1.166666667

Subproblem 2

Set the factor '(17 + -1x)' equal to zero and attempt to solve: Simplifying 17 + -1x = 0 Solving 17 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-17' to each side of the equation. 17 + -17 + -1x = 0 + -17 Combine like terms: 17 + -17 = 0 0 + -1x = 0 + -17 -1x = 0 + -17 Combine like terms: 0 + -17 = -17 -1x = -17 Divide each side by '-1'. x = 17 Simplifying x = 17

Solution

x = {-1.166666667, 17}

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