-2(x*x)-5x-9=-7

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Solution for -2(x*x)-5x-9=-7 equation: 


Simplifying
-2(x * x) + -5x + -9 = -7

Multiply x * x
-2(x2) + -5x + -9 = -7

Reorder the terms:
-9 + -5x + -2x2 = -7

Solving
-9 + -5x + -2x2 = -7

Solving for variable 'x'.

Reorder the terms:
-9 + 7 + -5x + -2x2 = -7 + 7

Combine like terms: -9 + 7 = -2
-2 + -5x + -2x2 = -7 + 7

Combine like terms: -7 + 7 = 0
-2 + -5x + -2x2 = 0

Factor out the Greatest Common Factor (GCF), '-1'.
-1(2 + 5x + 2x2) = 0

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

Ignore the factor -1.

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 + 2x)' equal to zero and attempt to solve:

Simplifying
1 + 2x = 0

Solving
1 + 2x = 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 + 2x = 0 + -1

Combine like terms: 1 + -1 = 0
0 + 2x = 0 + -1
2x = 0 + -1

Combine like terms: 0 + -1 = -1
2x = -1

Divide each side by '2'.
x = -0.5

Simplifying
x = -0.5
Solution
x = {-2, -0.5}

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