=(4x-10)(x+3)

Solution for =(4x-10)(x+3) equation:

Simplifying
0 = (4x + -10)(x + 3)

Reorder the terms:
0 = (-10 + 4x)(x + 3)

Reorder the terms:
0 = (-10 + 4x)(3 + x)

Multiply (-10 + 4x) * (3 + x)
0 = (-10(3 + x) + 4x * (3 + x))
0 = ((3 * -10 + x * -10) + 4x * (3 + x))
0 = ((-30 + -10x) + 4x * (3 + x))
0 = (-30 + -10x + (3 * 4x + x * 4x))
0 = (-30 + -10x + (12x + 4x2))

Combine like terms: -10x + 12x = 2x
0 = (-30 + 2x + 4x2)

Solving
0 = -30 + 2x + 4x2

Solving for variable 'x'.

Combine like terms: 0 + 30 = 30
30 + -2x + -4x2 = -30 + 2x + 4x2 + 30 + -2x + -4x2

Reorder the terms:
30 + -2x + -4x2 = -30 + 30 + 2x + -2x + 4x2 + -4x2

Combine like terms: -30 + 30 = 0
30 + -2x + -4x2 = 0 + 2x + -2x + 4x2 + -4x2
30 + -2x + -4x2 = 2x + -2x + 4x2 + -4x2

Combine like terms: 2x + -2x = 0
30 + -2x + -4x2 = 0 + 4x2 + -4x2
30 + -2x + -4x2 = 4x2 + -4x2

Combine like terms: 4x2 + -4x2 = 0
30 + -2x + -4x2 = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(15 + -1x + -2x2) = 0

Factor a trinomial.
2((5 + -2x)(3 + 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 '(3 + x)' equal to zero and attempt to solve:

Simplifying
3 + x = 0

Solving
3 + x = 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 + x = 0 + -3

Combine like terms: 3 + -3 = 0
0 + x = 0 + -3
x = 0 + -3

Combine like terms: 0 + -3 = -3
x = -3

Simplifying
x = -3
Solution
x = {2.5, -3}