0=4x^2+9x-9

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Solution for 0=4x^2+9x-9 equation:


Simplifying
0 = 4x2 + 9x + -9

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

Solving
0 = -9 + 9x + 4x2

Solving for variable 'x'.

Combine like terms: 0 + 9 = 9
9 + -9x + -4x2 = -9 + 9x + 4x2 + 9 + -9x + -4x2

Reorder the terms:
9 + -9x + -4x2 = -9 + 9 + 9x + -9x + 4x2 + -4x2

Combine like terms: -9 + 9 = 0
9 + -9x + -4x2 = 0 + 9x + -9x + 4x2 + -4x2
9 + -9x + -4x2 = 9x + -9x + 4x2 + -4x2

Combine like terms: 9x + -9x = 0
9 + -9x + -4x2 = 0 + 4x2 + -4x2
9 + -9x + -4x2 = 4x2 + -4x2

Combine like terms: 4x2 + -4x2 = 0
9 + -9x + -4x2 = 0

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


Subproblem 1
Set the factor '(3 + -4x)' equal to zero and attempt to solve:

Simplifying
3 + -4x = 0

Solving
3 + -4x = 0

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

Add '-3' to each side of the equation.
3 + -3 + -4x = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -4x = 0 + -3
-4x = 0 + -3

Combine like terms: 0 + -3 = -3
-4x = -3

Divide each side by '-4'.
x = 0.75

Simplifying
x = 0.75

Subproblem 2
Set the factor '(3 + x)' equal to zero and attempt to solve:

Simplifying
3 + x = 0

Solving
3 + x = 0

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

Add '-3' to each side of the equation.
3 + -3 + x = 0 + -3

Combine like terms: 3 + -3 = 0
0 + x = 0 + -3
x = 0 + -3

Combine like terms: 0 + -3 = -3
x = -3

Simplifying
x = -3
Solution
x = {0.75, -3}

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