(x+6)(-4x+10)=

Solution for (x+6)(-4x+10)= equation:

Simplifying
(x + 6)(-4x + 10) = 0

Reorder the terms:
(6 + x)(-4x + 10) = 0

Reorder the terms:
(6 + x)(10 + -4x) = 0

Multiply (6 + x) * (10 + -4x)
(6(10 + -4x) + x(10 + -4x)) = 0
((10 * 6 + -4x * 6) + x(10 + -4x)) = 0
((60 + -24x) + x(10 + -4x)) = 0
(60 + -24x + (10 * x + -4x * x)) = 0
(60 + -24x + (10x + -4x2)) = 0

Combine like terms: -24x + 10x = -14x
(60 + -14x + -4x2) = 0

Solving
60 + -14x + -4x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2'.
2(30 + -7x + -2x2) = 0

Factor a trinomial.
2((5 + -2x)(6 + x)) = 0

Ignore the factor 2.
Subproblem 1
Set the factor '(5 + -2x)' equal to zero and attempt to solve:

Simplifying
5 + -2x = 0

Solving
5 + -2x = 0

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

Add '-5' to each side of the equation.
5 + -5 + -2x = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -2x = 0 + -5
-2x = 0 + -5

Combine like terms: 0 + -5 = -5
-2x = -5

Divide each side by '-2'.
x = 2.5

Simplifying
x = 2.5
Subproblem 2
Set the factor '(6 + x)' equal to zero and attempt to solve:

Simplifying
6 + x = 0

Solving
6 + x = 0

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

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

Combine like terms: 6 + -6 = 0
0 + x = 0 + -6
x = 0 + -6

Combine like terms: 0 + -6 = -6
x = -6

Simplifying
x = -6
Solution
x = {2.5, -6}