(6x+9)+(x^2-3x)=49

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Solution for (6x+9)+(x^2-3x)=49 equation:


Simplifying
(6x + 9) + (x2 + -3x) = 49

Reorder the terms:
(9 + 6x) + (x2 + -3x) = 49

Remove parenthesis around (9 + 6x)
9 + 6x + (x2 + -3x) = 49

Reorder the terms:
9 + 6x + (-3x + x2) = 49

Remove parenthesis around (-3x + x2)
9 + 6x + -3x + x2 = 49

Combine like terms: 6x + -3x = 3x
9 + 3x + x2 = 49

Solving
9 + 3x + x2 = 49

Solving for variable 'x'.

Reorder the terms:
9 + -49 + 3x + x2 = 49 + -49

Combine like terms: 9 + -49 = -40
-40 + 3x + x2 = 49 + -49

Combine like terms: 49 + -49 = 0
-40 + 3x + x2 = 0

Factor a trinomial.
(-8 + -1x)(5 + -1x) = 0

Subproblem 1

Set the factor '(-8 + -1x)' equal to zero and attempt to solve: Simplifying -8 + -1x = 0 Solving -8 + -1x = 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 + -1x = 0 + 8 Combine like terms: -8 + 8 = 0 0 + -1x = 0 + 8 -1x = 0 + 8 Combine like terms: 0 + 8 = 8 -1x = 8 Divide each side by '-1'. x = -8 Simplifying x = -8

Subproblem 2

Set the factor '(5 + -1x)' equal to zero and attempt to solve: Simplifying 5 + -1x = 0 Solving 5 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + -1x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -1x = 0 + -5 -1x = 0 + -5 Combine like terms: 0 + -5 = -5 -1x = -5 Divide each side by '-1'. x = 5 Simplifying x = 5

Solution

x = {-8, 5}

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