4x^2+17x-5=13-4x

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Solution for 4x^2+17x-5=13-4x equation: 


Simplifying
4x2 + 17x + -5 = 13 + -4x

Reorder the terms:
-5 + 17x + 4x2 = 13 + -4x

Solving
-5 + 17x + 4x2 = 13 + -4x

Solving for variable 'x'.

Reorder the terms:
-5 + -13 + 17x + 4x + 4x2 = 13 + -4x + -13 + 4x

Combine like terms: -5 + -13 = -18
-18 + 17x + 4x + 4x2 = 13 + -4x + -13 + 4x

Combine like terms: 17x + 4x = 21x
-18 + 21x + 4x2 = 13 + -4x + -13 + 4x

Reorder the terms:
-18 + 21x + 4x2 = 13 + -13 + -4x + 4x

Combine like terms: 13 + -13 = 0
-18 + 21x + 4x2 = 0 + -4x + 4x
-18 + 21x + 4x2 = -4x + 4x

Combine like terms: -4x + 4x = 0
-18 + 21x + 4x2 = 0

Factor a trinomial.
(-6 + -1x)(3 + -4x) = 0


Subproblem 1
Set the factor '(-6 + -1x)' equal to zero and attempt to solve:

Simplifying
-6 + -1x = 0

Solving
-6 + -1x = 0

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

Add '6' to each side of the equation.
-6 + 6 + -1x = 0 + 6

Combine like terms: -6 + 6 = 0
0 + -1x = 0 + 6
-1x = 0 + 6

Combine like terms: 0 + 6 = 6
-1x = 6

Divide each side by '-1'.
x = -6

Simplifying
x = -6

Subproblem 2
Set the factor '(3 + -4x)' equal to zero and attempt to solve:

Simplifying
3 + -4x = 0

Solving
3 + -4x = 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 + -4x = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -4x = 0 + -3
-4x = 0 + -3

Combine like terms: 0 + -3 = -3
-4x = -3

Divide each side by '-4'.
x = 0.75

Simplifying
x = 0.75
Solution
x = {-6, 0.75}

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