4x(2x-3)+6(x+8)-3x(2x+2)=

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Solution for 4x(2x-3)+6(x+8)-3x(2x+2)= equation:


Simplifying
4x(2x + -3) + 6(x + 8) + -3x(2x + 2) = 0

Reorder the terms:
4x(-3 + 2x) + 6(x + 8) + -3x(2x + 2) = 0
(-3 * 4x + 2x * 4x) + 6(x + 8) + -3x(2x + 2) = 0
(-12x + 8x2) + 6(x + 8) + -3x(2x + 2) = 0

Reorder the terms:
-12x + 8x2 + 6(8 + x) + -3x(2x + 2) = 0
-12x + 8x2 + (8 * 6 + x * 6) + -3x(2x + 2) = 0
-12x + 8x2 + (48 + 6x) + -3x(2x + 2) = 0

Reorder the terms:
-12x + 8x2 + 48 + 6x + -3x(2 + 2x) = 0
-12x + 8x2 + 48 + 6x + (2 * -3x + 2x * -3x) = 0
-12x + 8x2 + 48 + 6x + (-6x + -6x2) = 0

Reorder the terms:
48 + -12x + 6x + -6x + 8x2 + -6x2 = 0

Combine like terms: -12x + 6x = -6x
48 + -6x + -6x + 8x2 + -6x2 = 0

Combine like terms: -6x + -6x = -12x
48 + -12x + 8x2 + -6x2 = 0

Combine like terms: 8x2 + -6x2 = 2x2
48 + -12x + 2x2 = 0

Solving
48 + -12x + 2x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2'.
2(24 + -6x + x2) = 0

Ignore the factor 2.

Subproblem 1

Set the factor '(24 + -6x + x2)' equal to zero and attempt to solve: Simplifying 24 + -6x + x2 = 0 Solving 24 + -6x + x2 = 0 Begin completing the square. Move the constant term to the right: Add '-24' to each side of the equation. 24 + -6x + -24 + x2 = 0 + -24 Reorder the terms: 24 + -24 + -6x + x2 = 0 + -24 Combine like terms: 24 + -24 = 0 0 + -6x + x2 = 0 + -24 -6x + x2 = 0 + -24 Combine like terms: 0 + -24 = -24 -6x + x2 = -24 The x term is -6x. Take half its coefficient (-3). Square it (9) and add it to both sides. Add '9' to each side of the equation. -6x + 9 + x2 = -24 + 9 Reorder the terms: 9 + -6x + x2 = -24 + 9 Combine like terms: -24 + 9 = -15 9 + -6x + x2 = -15 Factor a perfect square on the left side: (x + -3)(x + -3) = -15 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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