25a+35a^2-60=

Solution for 25a+35a^2-60= equation:

Simplifying
25a + 35a2 + -60 = 0

Reorder the terms:
-60 + 25a + 35a2 = 0

Solving
-60 + 25a + 35a2 = 0

Solving for variable 'a'.

Factor out the Greatest Common Factor (GCF), '5'.
5(-12 + 5a + 7a2) = 0

Factor a trinomial.
5((-12 + -7a)(1 + -1a)) = 0

Ignore the factor 5.
Subproblem 1
Set the factor '(-12 + -7a)' equal to zero and attempt to solve:

Simplifying
-12 + -7a = 0

Solving
-12 + -7a = 0

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

Add '12' to each side of the equation.
-12 + 12 + -7a = 0 + 12

Combine like terms: -12 + 12 = 0
0 + -7a = 0 + 12
-7a = 0 + 12

Combine like terms: 0 + 12 = 12
-7a = 12

Divide each side by '-7'.
a = -1.714285714

Simplifying
a = -1.714285714
Subproblem 2
Set the factor '(1 + -1a)' equal to zero and attempt to solve:

Simplifying
1 + -1a = 0

Solving
1 + -1a = 0

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

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

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

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

Divide each side by '-1'.
a = 1

Simplifying
a = 1
Solution
a = {-1.714285714, 1}