(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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