1)Factor out an x from the equation:
x(-2x + 13) = 0
Set each factor equal to zero:
x = 0 or -2x + 13 = 0
-2x = -13
x = 13/2
Therefore, the solutions to the equation -2x^2 + 13x = 0 are x = 0 and x = 13/2.
2)Factor out a 2b from the equation:
2b(3b - 1) = 0
2b = 0 or 3b - 1 = 0
b = 0 or 3b = 1
b = 0 or b = 1/3
Therefore, the solutions to the equation 6b^2 - 2b = 0 are b = 0 and b = 1/3.
1)
Factor out an x from the equation:
x(-2x + 13) = 0
Set each factor equal to zero:
x = 0 or -2x + 13 = 0
-2x = -13
x = 13/2
Therefore, the solutions to the equation -2x^2 + 13x = 0 are x = 0 and x = 13/2.
2)
Factor out a 2b from the equation:
2b(3b - 1) = 0
Set each factor equal to zero:
2b = 0 or 3b - 1 = 0
b = 0 or 3b = 1
b = 0 or b = 1/3
Therefore, the solutions to the equation 6b^2 - 2b = 0 are b = 0 and b = 1/3.