4X^2-21X+17=-6X+8

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Solution for 4X^2-21X+17=-6X+8 equation: 


Simplifying
4X2 + -21X + 17 = -6X + 8

Reorder the terms:
17 + -21X + 4X2 = -6X + 8

Reorder the terms:
17 + -21X + 4X2 = 8 + -6X

Solving
17 + -21X + 4X2 = 8 + -6X

Solving for variable 'X'.

Reorder the terms:
17 + -8 + -21X + 6X + 4X2 = 8 + -6X + -8 + 6X

Combine like terms: 17 + -8 = 9
9 + -21X + 6X + 4X2 = 8 + -6X + -8 + 6X

Combine like terms: -21X + 6X = -15X
9 + -15X + 4X2 = 8 + -6X + -8 + 6X

Reorder the terms:
9 + -15X + 4X2 = 8 + -8 + -6X + 6X

Combine like terms: 8 + -8 = 0
9 + -15X + 4X2 = 0 + -6X + 6X
9 + -15X + 4X2 = -6X + 6X

Combine like terms: -6X + 6X = 0
9 + -15X + 4X2 = 0

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


Subproblem 1
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

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 = {0.75, 3}

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