5=3x^2-9x-7

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Solution for 5=3x^2-9x-7 equation: 


Simplifying
5 = 3x2 + -9x + -7

Reorder the terms:
5 = -7 + -9x + 3x2

Solving
5 = -7 + -9x + 3x2

Solving for variable 'x'.

Combine like terms: 5 + 7 = 12
12 + 9x + -3x2 = -7 + -9x + 3x2 + 7 + 9x + -3x2

Reorder the terms:
12 + 9x + -3x2 = -7 + 7 + -9x + 9x + 3x2 + -3x2

Combine like terms: -7 + 7 = 0
12 + 9x + -3x2 = 0 + -9x + 9x + 3x2 + -3x2
12 + 9x + -3x2 = -9x + 9x + 3x2 + -3x2

Combine like terms: -9x + 9x = 0
12 + 9x + -3x2 = 0 + 3x2 + -3x2
12 + 9x + -3x2 = 3x2 + -3x2

Combine like terms: 3x2 + -3x2 = 0
12 + 9x + -3x2 = 0

Factor out the Greatest Common Factor (GCF), '3'.
3(4 + 3x + -1x2) = 0

Factor a trinomial.
3((4 + -1x)(1 + x)) = 0

Ignore the factor 3.

Subproblem 1
Set the factor '(4 + -1x)' equal to zero and attempt to solve:

Simplifying
4 + -1x = 0

Solving
4 + -1x = 0

Move all terms containing x to the left, all other terms to the right.

Add '-4' to each side of the equation.
4 + -4 + -1x = 0 + -4

Combine like terms: 4 + -4 = 0
0 + -1x = 0 + -4
-1x = 0 + -4

Combine like terms: 0 + -4 = -4
-1x = -4

Divide each side by '-1'.
x = 4

Simplifying
x = 4

Subproblem 2
Set the factor '(1 + x)' equal to zero and attempt to solve:

Simplifying
1 + x = 0

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

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

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

Simplifying
x = -1
Solution
x = {4, -1}

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