3x+x^2+6x-3=19

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Solution for 3x+x^2+6x-3=19 equation:


Simplifying
3x + x2 + 6x + -3 = 19

Reorder the terms:
-3 + 3x + 6x + x2 = 19

Combine like terms: 3x + 6x = 9x
-3 + 9x + x2 = 19

Solving
-3 + 9x + x2 = 19

Solving for variable 'x'.

Reorder the terms:
-3 + -19 + 9x + x2 = 19 + -19

Combine like terms: -3 + -19 = -22
-22 + 9x + x2 = 19 + -19

Combine like terms: 19 + -19 = 0
-22 + 9x + x2 = 0

Factor a trinomial.
(-11 + -1x)(2 + -1x) = 0

Subproblem 1

Set the factor '(-11 + -1x)' equal to zero and attempt to solve: Simplifying -11 + -1x = 0 Solving -11 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '11' to each side of the equation. -11 + 11 + -1x = 0 + 11 Combine like terms: -11 + 11 = 0 0 + -1x = 0 + 11 -1x = 0 + 11 Combine like terms: 0 + 11 = 11 -1x = 11 Divide each side by '-1'. x = -11 Simplifying x = -11

Subproblem 2

Set the factor '(2 + -1x)' equal to zero and attempt to solve: Simplifying 2 + -1x = 0 Solving 2 + -1x = 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 + -1x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -1x = 0 + -2 -1x = 0 + -2 Combine like terms: 0 + -2 = -2 -1x = -2 Divide each side by '-1'. x = 2 Simplifying x = 2

Solution

x = {-11, 2}

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