(5x^2+5x+4)+(x^2+9x)=

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Solution for (5x^2+5x+4)+(x^2+9x)= equation:


Simplifying
(5x2 + 5x + 4) + (x2 + 9x) = 0

Reorder the terms:
(4 + 5x + 5x2) + (x2 + 9x) = 0

Remove parenthesis around (4 + 5x + 5x2)
4 + 5x + 5x2 + (x2 + 9x) = 0

Reorder the terms:
4 + 5x + 5x2 + (9x + x2) = 0

Remove parenthesis around (9x + x2)
4 + 5x + 5x2 + 9x + x2 = 0

Reorder the terms:
4 + 5x + 9x + 5x2 + x2 = 0

Combine like terms: 5x + 9x = 14x
4 + 14x + 5x2 + x2 = 0

Combine like terms: 5x2 + x2 = 6x2
4 + 14x + 6x2 = 0

Solving
4 + 14x + 6x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2'.
2(2 + 7x + 3x2) = 0

Factor a trinomial.
2((2 + x)(1 + 3x)) = 0

Ignore the factor 2.

Subproblem 1

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

Subproblem 2

Set the factor '(1 + 3x)' equal to zero and attempt to solve: Simplifying 1 + 3x = 0 Solving 1 + 3x = 0 Move all terms containing x to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + 3x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 3x = 0 + -1 3x = 0 + -1 Combine like terms: 0 + -1 = -1 3x = -1 Divide each side by '3'. x = -0.3333333333 Simplifying x = -0.3333333333

Solution

x = {-2, -0.3333333333}

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