2x^2-5x+18=x+4

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Solution for 2x^2-5x+18=x+4 equation: 


Simplifying
2x2 + -5x + 18 = x + 4

Reorder the terms:
18 + -5x + 2x2 = x + 4

Reorder the terms:
18 + -5x + 2x2 = 4 + x

Solving
18 + -5x + 2x2 = 4 + x

Solving for variable 'x'.

Reorder the terms:
18 + -4 + -5x + -1x + 2x2 = 4 + x + -4 + -1x

Combine like terms: 18 + -4 = 14
14 + -5x + -1x + 2x2 = 4 + x + -4 + -1x

Combine like terms: -5x + -1x = -6x
14 + -6x + 2x2 = 4 + x + -4 + -1x

Reorder the terms:
14 + -6x + 2x2 = 4 + -4 + x + -1x

Combine like terms: 4 + -4 = 0
14 + -6x + 2x2 = 0 + x + -1x
14 + -6x + 2x2 = x + -1x

Combine like terms: x + -1x = 0
14 + -6x + 2x2 = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(7 + -3x + x2) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(7 + -3x + x2)' equal to zero and attempt to solve:

Simplifying
7 + -3x + x2 = 0

Solving
7 + -3x + x2 = 0

Begin completing the square.

Move the constant term to the right:

Add '-7' to each side of the equation.
7 + -3x + -7 + x2 = 0 + -7

Reorder the terms:
7 + -7 + -3x + x2 = 0 + -7

Combine like terms: 7 + -7 = 0
0 + -3x + x2 = 0 + -7
-3x + x2 = 0 + -7

Combine like terms: 0 + -7 = -7
-3x + x2 = -7

The x term is -3x.  Take half its coefficient (-1.5).
Square it (2.25) and add it to both sides.

Add '2.25' to each side of the equation.
-3x + 2.25 + x2 = -7 + 2.25

Reorder the terms:
2.25 + -3x + x2 = -7 + 2.25

Combine like terms: -7 + 2.25 = -4.75
2.25 + -3x + x2 = -4.75

Factor a perfect square on the left side:
(x + -1.5)(x + -1.5) = -4.75

Can't calculate square root of the right side.

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

The solution to this equation could not be determined.

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