(2x+17)(10x-3)=0

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Solution for (2x+17)(10x-3)=0 equation: 


Simplifying
(2x + 17)(10x + -3) = 0

Reorder the terms:
(17 + 2x)(10x + -3) = 0

Reorder the terms:
(17 + 2x)(-3 + 10x) = 0

Multiply (17 + 2x) * (-3 + 10x)
(17(-3 + 10x) + 2x * (-3 + 10x)) = 0
((-3 * 17 + 10x * 17) + 2x * (-3 + 10x)) = 0
((-51 + 170x) + 2x * (-3 + 10x)) = 0
(-51 + 170x + (-3 * 2x + 10x * 2x)) = 0
(-51 + 170x + (-6x + 20x2)) = 0

Combine like terms: 170x + -6x = 164x
(-51 + 164x + 20x2) = 0

Solving
-51 + 164x + 20x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(-17 + -2x)(3 + -10x) = 0


Subproblem 1
Set the factor '(-17 + -2x)' equal to zero and attempt to solve:

Simplifying
-17 + -2x = 0

Solving
-17 + -2x = 0

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

Add '17' to each side of the equation.
-17 + 17 + -2x = 0 + 17

Combine like terms: -17 + 17 = 0
0 + -2x = 0 + 17
-2x = 0 + 17

Combine like terms: 0 + 17 = 17
-2x = 17

Divide each side by '-2'.
x = -8.5

Simplifying
x = -8.5

Subproblem 2
Set the factor '(3 + -10x)' equal to zero and attempt to solve:

Simplifying
3 + -10x = 0

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

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

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

Divide each side by '-10'.
x = 0.3

Simplifying
x = 0.3
Solution
x = {-8.5, 0.3}

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