(3x+10)(5x-52)=

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Solution for (3x+10)(5x-52)= equation: 


Simplifying
(3x + 10)(5x + -52) = 0

Reorder the terms:
(10 + 3x)(5x + -52) = 0

Reorder the terms:
(10 + 3x)(-52 + 5x) = 0

Multiply (10 + 3x) * (-52 + 5x)
(10(-52 + 5x) + 3x * (-52 + 5x)) = 0
((-52 * 10 + 5x * 10) + 3x * (-52 + 5x)) = 0
((-520 + 50x) + 3x * (-52 + 5x)) = 0
(-520 + 50x + (-52 * 3x + 5x * 3x)) = 0
(-520 + 50x + (-156x + 15x2)) = 0

Combine like terms: 50x + -156x = -106x
(-520 + -106x + 15x2) = 0

Solving
-520 + -106x + 15x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(-10 + -3x)(52 + -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 '(52 + -5x)' equal to zero and attempt to solve:

Simplifying
52 + -5x = 0

Solving
52 + -5x = 0

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

Add '-52' to each side of the equation.
52 + -52 + -5x = 0 + -52

Combine like terms: 52 + -52 = 0
0 + -5x = 0 + -52
-5x = 0 + -52

Combine like terms: 0 + -52 = -52
-5x = -52

Divide each side by '-5'.
x = 10.4

Simplifying
x = 10.4
Solution
x = {-3.333333333, 10.4}

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