4x^2-21x+22+SQRT(3x+2)=0

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Solution for 4x^2-21x+22+SQRT(3x+2)=0 equation: 


Simplifying
4x2 + -21x + 22 + SQRT(3x + 2) = 0

Reorder the terms:
4x2 + -21x + 22 + QRST(2 + 3x) = 0
4x2 + -21x + 22 + (2 * QRST + 3x * QRST) = 0
4x2 + -21x + 22 + (2QRST + 3xQRST) = 0

Reorder the terms:
22 + 2QRST + -21x + 3xQRST + 4x2 = 0

Solving
22 + 2QRST + -21x + 3xQRST + 4x2 = 0

Solving for variable 'Q'.

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

Add '-22' to each side of the equation.
22 + 2QRST + -21x + 3xQRST + -22 + 4x2 = 0 + -22

Reorder the terms:
22 + -22 + 2QRST + -21x + 3xQRST + 4x2 = 0 + -22

Combine like terms: 22 + -22 = 0
0 + 2QRST + -21x + 3xQRST + 4x2 = 0 + -22
2QRST + -21x + 3xQRST + 4x2 = 0 + -22

Combine like terms: 0 + -22 = -22
2QRST + -21x + 3xQRST + 4x2 = -22

Add '21x' to each side of the equation.
2QRST + -21x + 3xQRST + 21x + 4x2 = -22 + 21x

Reorder the terms:
2QRST + -21x + 21x + 3xQRST + 4x2 = -22 + 21x

Combine like terms: -21x + 21x = 0
2QRST + 0 + 3xQRST + 4x2 = -22 + 21x
2QRST + 3xQRST + 4x2 = -22 + 21x

Add '-4x2' to each side of the equation.
2QRST + 3xQRST + 4x2 + -4x2 = -22 + 21x + -4x2

Combine like terms: 4x2 + -4x2 = 0
2QRST + 3xQRST + 0 = -22 + 21x + -4x2
2QRST + 3xQRST = -22 + 21x + -4x2

Reorder the terms:
22 + 2QRST + -21x + 3xQRST + 4x2 = -22 + 21x + -4x2 + 22 + -21x + 4x2

Reorder the terms:
22 + 2QRST + -21x + 3xQRST + 4x2 = -22 + 22 + 21x + -21x + -4x2 + 4x2

Combine like terms: -22 + 22 = 0
22 + 2QRST + -21x + 3xQRST + 4x2 = 0 + 21x + -21x + -4x2 + 4x2
22 + 2QRST + -21x + 3xQRST + 4x2 = 21x + -21x + -4x2 + 4x2

Combine like terms: 21x + -21x = 0
22 + 2QRST + -21x + 3xQRST + 4x2 = 0 + -4x2 + 4x2
22 + 2QRST + -21x + 3xQRST + 4x2 = -4x2 + 4x2

Combine like terms: -4x2 + 4x2 = 0
22 + 2QRST + -21x + 3xQRST + 4x2 = 0

The solution to this equation could not be determined.

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