(5x+17)(8x-4)=

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Solution for (5x+17)(8x-4)= equation:


Simplifying
(5x + 17)(8x + -4) = 0

Reorder the terms:
(17 + 5x)(8x + -4) = 0

Reorder the terms:
(17 + 5x)(-4 + 8x) = 0

Multiply (17 + 5x) * (-4 + 8x)
(17(-4 + 8x) + 5x * (-4 + 8x)) = 0
((-4 * 17 + 8x * 17) + 5x * (-4 + 8x)) = 0
((-68 + 136x) + 5x * (-4 + 8x)) = 0
(-68 + 136x + (-4 * 5x + 8x * 5x)) = 0
(-68 + 136x + (-20x + 40x2)) = 0

Combine like terms: 136x + -20x = 116x
(-68 + 116x + 40x2) = 0

Solving
-68 + 116x + 40x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '4'.
4(-17 + 29x + 10x2) = 0

Factor a trinomial.
4((-17 + -5x)(1 + -2x)) = 0

Ignore the factor 4.

Subproblem 1
Set the factor '(-17 + -5x)' equal to zero and attempt to solve:

Simplifying
-17 + -5x = 0

Solving
-17 + -5x = 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 + -5x = 0 + 17

Combine like terms: -17 + 17 = 0
0 + -5x = 0 + 17
-5x = 0 + 17

Combine like terms: 0 + 17 = 17
-5x = 17

Divide each side by '-5'.
x = -3.4

Simplifying
x = -3.4

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

Simplifying
1 + -2x = 0

Solving
1 + -2x = 0

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

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

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

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

Divide each side by '-2'.
x = 0.5

Simplifying
x = 0.5
Solution
x = {-3.4, 0.5}

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