=(2x-3)(5x+6)

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Solution for =(2x-3)(5x+6) equation: 


Simplifying
0 = (2x + -3)(5x + 6)

Reorder the terms:
0 = (-3 + 2x)(5x + 6)

Reorder the terms:
0 = (-3 + 2x)(6 + 5x)

Multiply (-3 + 2x) * (6 + 5x)
0 = (-3(6 + 5x) + 2x * (6 + 5x))
0 = ((6 * -3 + 5x * -3) + 2x * (6 + 5x))
0 = ((-18 + -15x) + 2x * (6 + 5x))
0 = (-18 + -15x + (6 * 2x + 5x * 2x))
0 = (-18 + -15x + (12x + 10x2))

Combine like terms: -15x + 12x = -3x
0 = (-18 + -3x + 10x2)

Solving
0 = -18 + -3x + 10x2

Solving for variable 'x'.

Combine like terms: 0 + 18 = 18
18 + 3x + -10x2 = -18 + -3x + 10x2 + 18 + 3x + -10x2

Reorder the terms:
18 + 3x + -10x2 = -18 + 18 + -3x + 3x + 10x2 + -10x2

Combine like terms: -18 + 18 = 0
18 + 3x + -10x2 = 0 + -3x + 3x + 10x2 + -10x2
18 + 3x + -10x2 = -3x + 3x + 10x2 + -10x2

Combine like terms: -3x + 3x = 0
18 + 3x + -10x2 = 0 + 10x2 + -10x2
18 + 3x + -10x2 = 10x2 + -10x2

Combine like terms: 10x2 + -10x2 = 0
18 + 3x + -10x2 = 0

Factor a trinomial.
(3 + -2x)(6 + 5x) = 0


Subproblem 1
Set the factor '(3 + -2x)' equal to zero and attempt to solve:

Simplifying
3 + -2x = 0

Solving
3 + -2x = 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 + -2x = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -2x = 0 + -3
-2x = 0 + -3

Combine like terms: 0 + -3 = -3
-2x = -3

Divide each side by '-2'.
x = 1.5

Simplifying
x = 1.5

Subproblem 2
Set the factor '(6 + 5x)' equal to zero and attempt to solve:

Simplifying
6 + 5x = 0

Solving
6 + 5x = 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 + 5x = 0 + -6

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

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

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

Simplifying
x = -1.2
Solution
x = {1.5, -1.2}

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