9x^2+19x-11=5+x

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Solution for 9x^2+19x-11=5+x equation:


Simplifying
9x2 + 19x + -11 = 5 + x

Reorder the terms:
-11 + 19x + 9x2 = 5 + x

Solving
-11 + 19x + 9x2 = 5 + x

Solving for variable 'x'.

Reorder the terms:
-11 + -5 + 19x + -1x + 9x2 = 5 + x + -5 + -1x

Combine like terms: -11 + -5 = -16
-16 + 19x + -1x + 9x2 = 5 + x + -5 + -1x

Combine like terms: 19x + -1x = 18x
-16 + 18x + 9x2 = 5 + x + -5 + -1x

Reorder the terms:
-16 + 18x + 9x2 = 5 + -5 + x + -1x

Combine like terms: 5 + -5 = 0
-16 + 18x + 9x2 = 0 + x + -1x
-16 + 18x + 9x2 = x + -1x

Combine like terms: x + -1x = 0
-16 + 18x + 9x2 = 0

Factor a trinomial.
(-8 + -3x)(2 + -3x) = 0

Subproblem 1

Set the factor '(-8 + -3x)' equal to zero and attempt to solve: Simplifying -8 + -3x = 0 Solving -8 + -3x = 0 Move all terms containing x to the left, all other terms to the right. Add '8' to each side of the equation. -8 + 8 + -3x = 0 + 8 Combine like terms: -8 + 8 = 0 0 + -3x = 0 + 8 -3x = 0 + 8 Combine like terms: 0 + 8 = 8 -3x = 8 Divide each side by '-3'. x = -2.666666667 Simplifying x = -2.666666667

Subproblem 2

Set the factor '(2 + -3x)' equal to zero and attempt to solve: Simplifying 2 + -3x = 0 Solving 2 + -3x = 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 + -3x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -3x = 0 + -2 -3x = 0 + -2 Combine like terms: 0 + -2 = -2 -3x = -2 Divide each side by '-3'. x = 0.6666666667 Simplifying x = 0.6666666667

Solution

x = {-2.666666667, 0.6666666667}

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