-3x(x+2)+4x=11

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Solution for -3x(x+2)+4x=11 equation:


Simplifying
-3x(x + 2) + 4x = 11

Reorder the terms:
-3x(2 + x) + 4x = 11
(2 * -3x + x * -3x) + 4x = 11
(-6x + -3x2) + 4x = 11

Reorder the terms:
-6x + 4x + -3x2 = 11

Combine like terms: -6x + 4x = -2x
-2x + -3x2 = 11

Solving
-2x + -3x2 = 11

Solving for variable 'x'.

Reorder the terms:
-11 + -2x + -3x2 = 11 + -11

Combine like terms: 11 + -11 = 0
-11 + -2x + -3x2 = 0

Factor out the Greatest Common Factor (GCF), '-1'.
-1(11 + 2x + 3x2) = 0

Ignore the factor -1.

Subproblem 1

Set the factor '(11 + 2x + 3x2)' equal to zero and attempt to solve: Simplifying 11 + 2x + 3x2 = 0 Solving 11 + 2x + 3x2 = 0 Begin completing the square. Divide all terms by 3 the coefficient of the squared term: Divide each side by '3'. 3.666666667 + 0.6666666667x + x2 = 0 Move the constant term to the right: Add '-3.666666667' to each side of the equation. 3.666666667 + 0.6666666667x + -3.666666667 + x2 = 0 + -3.666666667 Reorder the terms: 3.666666667 + -3.666666667 + 0.6666666667x + x2 = 0 + -3.666666667 Combine like terms: 3.666666667 + -3.666666667 = 0.000000000 0.000000000 + 0.6666666667x + x2 = 0 + -3.666666667 0.6666666667x + x2 = 0 + -3.666666667 Combine like terms: 0 + -3.666666667 = -3.666666667 0.6666666667x + x2 = -3.666666667 The x term is 0.6666666667x. Take half its coefficient (0.3333333334). Square it (0.1111111112) and add it to both sides. Add '0.1111111112' to each side of the equation. 0.6666666667x + 0.1111111112 + x2 = -3.666666667 + 0.1111111112 Reorder the terms: 0.1111111112 + 0.6666666667x + x2 = -3.666666667 + 0.1111111112 Combine like terms: -3.666666667 + 0.1111111112 = -3.5555555558 0.1111111112 + 0.6666666667x + x2 = -3.5555555558 Factor a perfect square on the left side: (x + 0.3333333334)(x + 0.3333333334) = -3.5555555558 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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