(5x+9)-(-2x^2-6x+9)=

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Solution for (5x+9)-(-2x^2-6x+9)= equation:


Simplifying
(5x + 9) + -1(-2x2 + -6x + 9) = 0

Reorder the terms:
(9 + 5x) + -1(-2x2 + -6x + 9) = 0

Remove parenthesis around (9 + 5x)
9 + 5x + -1(-2x2 + -6x + 9) = 0

Reorder the terms:
9 + 5x + -1(9 + -6x + -2x2) = 0
9 + 5x + (9 * -1 + -6x * -1 + -2x2 * -1) = 0
9 + 5x + (-9 + 6x + 2x2) = 0

Reorder the terms:
9 + -9 + 5x + 6x + 2x2 = 0

Combine like terms: 9 + -9 = 0
0 + 5x + 6x + 2x2 = 0
5x + 6x + 2x2 = 0

Combine like terms: 5x + 6x = 11x
11x + 2x2 = 0

Solving
11x + 2x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'x'.
x(11 + 2x) = 0

Subproblem 1

Set the factor 'x' equal to zero and attempt to solve: Simplifying x = 0 Solving x = 0 Move all terms containing x to the left, all other terms to the right. Simplifying x = 0

Subproblem 2

Set the factor '(11 + 2x)' equal to zero and attempt to solve: Simplifying 11 + 2x = 0 Solving 11 + 2x = 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 + 2x = 0 + -11 Combine like terms: 11 + -11 = 0 0 + 2x = 0 + -11 2x = 0 + -11 Combine like terms: 0 + -11 = -11 2x = -11 Divide each side by '2'. x = -5.5 Simplifying x = -5.5

Solution

x = {0, -5.5}

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