2d^2+6d=7d^2

Solution for 2d^2+6d=7d^2 equation:

Simplifying
2d2 + 6d = 7d2

Reorder the terms:
6d + 2d2 = 7d2

Solving
6d + 2d2 = 7d2

Solving for variable 'd'.

Combine like terms: 2d2 + -7d2 = -5d2
6d + -5d2 = 7d2 + -7d2

Combine like terms: 7d2 + -7d2 = 0
6d + -5d2 = 0

Factor out the Greatest Common Factor (GCF), 'd'.
d(6 + -5d) = 0

Subproblem 1
Set the factor 'd' equal to zero and attempt to solve:

Simplifying
d = 0

Solving
d = 0

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

Simplifying
d = 0
Subproblem 2
Set the factor '(6 + -5d)' equal to zero and attempt to solve:

Simplifying
6 + -5d = 0

Solving
6 + -5d = 0

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

Add '-6' to each side of the equation.
6 + -6 + -5d = 0 + -6

Combine like terms: 6 + -6 = 0
0 + -5d = 0 + -6
-5d = 0 + -6

Combine like terms: 0 + -6 = -6
-5d = -6

Divide each side by '-5'.
d = 1.2

Simplifying
d = 1.2
Solution
d = {0, 1.2}