Solution for 6x^2+9x=0 equation:
Simplifying
6x2 + 9x = 0
Reorder the terms:
9x + 6x2 = 0
Solving
9x + 6x2 = 0
Solving for variable 'x'.
Factor out the Greatest Common Factor (GCF), '3x'.
3x(3 + 2x) = 0
Ignore the factor 3.
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 '(3 + 2x)' equal to zero and attempt to solve:
Simplifying
3 + 2x = 0
Solving
3 + 2x = 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 + 2x = 0 + -3
Combine like terms: 3 + -3 = 0
0 + 2x = 0 + -3
2x = 0 + -3
Combine like terms: 0 + -3 = -3
2x = -3
Divide each side by '2'.
x = -1.5
Simplifying
x = -1.5
Solution
x = {0, -1.5}
