4X^2-21X+17=-2X+5

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Solution for 4X^2-21X+17=-2X+5 equation: 


Simplifying
4X2 + -21X + 17 = -2X + 5

Reorder the terms:
17 + -21X + 4X2 = -2X + 5

Reorder the terms:
17 + -21X + 4X2 = 5 + -2X

Solving
17 + -21X + 4X2 = 5 + -2X

Solving for variable 'X'.

Reorder the terms:
17 + -5 + -21X + 2X + 4X2 = 5 + -2X + -5 + 2X

Combine like terms: 17 + -5 = 12
12 + -21X + 2X + 4X2 = 5 + -2X + -5 + 2X

Combine like terms: -21X + 2X = -19X
12 + -19X + 4X2 = 5 + -2X + -5 + 2X

Reorder the terms:
12 + -19X + 4X2 = 5 + -5 + -2X + 2X

Combine like terms: 5 + -5 = 0
12 + -19X + 4X2 = 0 + -2X + 2X
12 + -19X + 4X2 = -2X + 2X

Combine like terms: -2X + 2X = 0
12 + -19X + 4X2 = 0

Factor a trinomial.
(3 + -4X)(4 + -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 '(4 + -1X)' equal to zero and attempt to solve:

Simplifying
4 + -1X = 0

Solving
4 + -1X = 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 + -1X = 0 + -4

Combine like terms: 4 + -4 = 0
0 + -1X = 0 + -4
-1X = 0 + -4

Combine like terms: 0 + -4 = -4
-1X = -4

Divide each side by '-1'.
X = 4

Simplifying
X = 4
Solution
X = {0.75, 4}

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