(5x-10)(3x+40)=

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Solution for (5x-10)(3x+40)= equation: 


Simplifying
(5x + -10)(3x + 40) = 0

Reorder the terms:
(-10 + 5x)(3x + 40) = 0

Reorder the terms:
(-10 + 5x)(40 + 3x) = 0

Multiply (-10 + 5x) * (40 + 3x)
(-10(40 + 3x) + 5x * (40 + 3x)) = 0
((40 * -10 + 3x * -10) + 5x * (40 + 3x)) = 0
((-400 + -30x) + 5x * (40 + 3x)) = 0
(-400 + -30x + (40 * 5x + 3x * 5x)) = 0
(-400 + -30x + (200x + 15x2)) = 0

Combine like terms: -30x + 200x = 170x
(-400 + 170x + 15x2) = 0

Solving
-400 + 170x + 15x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '5'.
5(-80 + 34x + 3x2) = 0

Factor a trinomial.
5((-40 + -3x)(2 + -1x)) = 0

Ignore the factor 5.

Subproblem 1
Set the factor '(-40 + -3x)' equal to zero and attempt to solve:

Simplifying
-40 + -3x = 0

Solving
-40 + -3x = 0

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

Add '40' to each side of the equation.
-40 + 40 + -3x = 0 + 40

Combine like terms: -40 + 40 = 0
0 + -3x = 0 + 40
-3x = 0 + 40

Combine like terms: 0 + 40 = 40
-3x = 40

Divide each side by '-3'.
x = -13.33333333

Simplifying
x = -13.33333333

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

Simplifying
2 + -1x = 0

Solving
2 + -1x = 0

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

Add '-2' to each side of the equation.
2 + -2 + -1x = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -1x = 0 + -2
-1x = 0 + -2

Combine like terms: 0 + -2 = -2
-1x = -2

Divide each side by '-1'.
x = 2

Simplifying
x = 2
Solution
x = {-13.33333333, 2}

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