8(x-1)+17x(x-3)=4(4x-9)+4

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Solution for 8(x-1)+17x(x-3)=4(4x-9)+4 equation: 


Simplifying
8(x + -1) + 17x(x + -3) = 4(4x + -9) + 4

Reorder the terms:
8(-1 + x) + 17x(x + -3) = 4(4x + -9) + 4
(-1 * 8 + x * 8) + 17x(x + -3) = 4(4x + -9) + 4
(-8 + 8x) + 17x(x + -3) = 4(4x + -9) + 4

Reorder the terms:
-8 + 8x + 17x(-3 + x) = 4(4x + -9) + 4
-8 + 8x + (-3 * 17x + x * 17x) = 4(4x + -9) + 4
-8 + 8x + (-51x + 17x2) = 4(4x + -9) + 4

Combine like terms: 8x + -51x = -43x
-8 + -43x + 17x2 = 4(4x + -9) + 4

Reorder the terms:
-8 + -43x + 17x2 = 4(-9 + 4x) + 4
-8 + -43x + 17x2 = (-9 * 4 + 4x * 4) + 4
-8 + -43x + 17x2 = (-36 + 16x) + 4

Reorder the terms:
-8 + -43x + 17x2 = -36 + 4 + 16x

Combine like terms: -36 + 4 = -32
-8 + -43x + 17x2 = -32 + 16x

Solving
-8 + -43x + 17x2 = -32 + 16x

Solving for variable 'x'.

Reorder the terms:
-8 + 32 + -43x + -16x + 17x2 = -32 + 16x + 32 + -16x

Combine like terms: -8 + 32 = 24
24 + -43x + -16x + 17x2 = -32 + 16x + 32 + -16x

Combine like terms: -43x + -16x = -59x
24 + -59x + 17x2 = -32 + 16x + 32 + -16x

Reorder the terms:
24 + -59x + 17x2 = -32 + 32 + 16x + -16x

Combine like terms: -32 + 32 = 0
24 + -59x + 17x2 = 0 + 16x + -16x
24 + -59x + 17x2 = 16x + -16x

Combine like terms: 16x + -16x = 0
24 + -59x + 17x2 = 0

Factor a trinomial.
(8 + -17x)(3 + -1x) = 0


Subproblem 1
Set the factor '(8 + -17x)' equal to zero and attempt to solve:

Simplifying
8 + -17x = 0

Solving
8 + -17x = 0

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

Add '-8' to each side of the equation.
8 + -8 + -17x = 0 + -8

Combine like terms: 8 + -8 = 0
0 + -17x = 0 + -8
-17x = 0 + -8

Combine like terms: 0 + -8 = -8
-17x = -8

Divide each side by '-17'.
x = 0.4705882353

Simplifying
x = 0.4705882353

Subproblem 2
Set the factor '(3 + -1x)' equal to zero and attempt to solve:

Simplifying
3 + -1x = 0

Solving
3 + -1x = 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 + -1x = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -1x = 0 + -3
-1x = 0 + -3

Combine like terms: 0 + -3 = -3
-1x = -3

Divide each side by '-1'.
x = 3

Simplifying
x = 3
Solution
x = {0.4705882353, 3}

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