(5x+6)(10-3x)=

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Solution for (5x+6)(10-3x)= equation: 


Simplifying
(5x + 6)(10 + -3x) = 0

Reorder the terms:
(6 + 5x)(10 + -3x) = 0

Multiply (6 + 5x) * (10 + -3x)
(6(10 + -3x) + 5x * (10 + -3x)) = 0
((10 * 6 + -3x * 6) + 5x * (10 + -3x)) = 0
((60 + -18x) + 5x * (10 + -3x)) = 0
(60 + -18x + (10 * 5x + -3x * 5x)) = 0
(60 + -18x + (50x + -15x2)) = 0

Combine like terms: -18x + 50x = 32x
(60 + 32x + -15x2) = 0

Solving
60 + 32x + -15x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(10 + -3x)(6 + 5x) = 0


Subproblem 1
Set the factor '(10 + -3x)' equal to zero and attempt to solve:

Simplifying
10 + -3x = 0

Solving
10 + -3x = 0

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

Add '-10' to each side of the equation.
10 + -10 + -3x = 0 + -10

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

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

Divide each side by '-3'.
x = 3.333333333

Simplifying
x = 3.333333333

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 = {3.333333333, -1.2}

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