5x^2+17x-17=3-4x

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Solution for 5x^2+17x-17=3-4x equation: 


Simplifying
5x2 + 17x + -17 = 3 + -4x

Reorder the terms:
-17 + 17x + 5x2 = 3 + -4x

Solving
-17 + 17x + 5x2 = 3 + -4x

Solving for variable 'x'.

Reorder the terms:
-17 + -3 + 17x + 4x + 5x2 = 3 + -4x + -3 + 4x

Combine like terms: -17 + -3 = -20
-20 + 17x + 4x + 5x2 = 3 + -4x + -3 + 4x

Combine like terms: 17x + 4x = 21x
-20 + 21x + 5x2 = 3 + -4x + -3 + 4x

Reorder the terms:
-20 + 21x + 5x2 = 3 + -3 + -4x + 4x

Combine like terms: 3 + -3 = 0
-20 + 21x + 5x2 = 0 + -4x + 4x
-20 + 21x + 5x2 = -4x + 4x

Combine like terms: -4x + 4x = 0
-20 + 21x + 5x2 = 0

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


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

Simplifying
-5 + -1x = 0

Solving
-5 + -1x = 0

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

Add '5' to each side of the equation.
-5 + 5 + -1x = 0 + 5

Combine like terms: -5 + 5 = 0
0 + -1x = 0 + 5
-1x = 0 + 5

Combine like terms: 0 + 5 = 5
-1x = 5

Divide each side by '-1'.
x = -5

Simplifying
x = -5

Subproblem 2
Set the factor '(4 + -5x)' equal to zero and attempt to solve:

Simplifying
4 + -5x = 0

Solving
4 + -5x = 0

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

Add '-4' to each side of the equation.
4 + -4 + -5x = 0 + -4

Combine like terms: 4 + -4 = 0
0 + -5x = 0 + -4
-5x = 0 + -4

Combine like terms: 0 + -4 = -4
-5x = -4

Divide each side by '-5'.
x = 0.8

Simplifying
x = 0.8
Solution
x = {-5, 0.8}

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