-3x^2=0+7x+6

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Solution for -3x^2=0+7x+6 equation:


Simplifying
-3x2 = 0 + 7x + 6

Reorder the terms:
-3x2 = 0 + 6 + 7x

Combine like terms: 0 + 6 = 6
-3x2 = 6 + 7x

Solving
-3x2 = 6 + 7x

Solving for variable 'x'.

Reorder the terms:
-6 + -7x + -3x2 = 6 + 7x + -6 + -7x

Reorder the terms:
-6 + -7x + -3x2 = 6 + -6 + 7x + -7x

Combine like terms: 6 + -6 = 0
-6 + -7x + -3x2 = 0 + 7x + -7x
-6 + -7x + -3x2 = 7x + -7x

Combine like terms: 7x + -7x = 0
-6 + -7x + -3x2 = 0

Factor out the Greatest Common Factor (GCF), '-1'.
-1(6 + 7x + 3x2) = 0

Ignore the factor -1.

Subproblem 1

Set the factor '(6 + 7x + 3x2)' equal to zero and attempt to solve: Simplifying 6 + 7x + 3x2 = 0 Solving 6 + 7x + 3x2 = 0 Begin completing the square. Divide all terms by 3 the coefficient of the squared term: Divide each side by '3'. 2 + 2.333333333x + x2 = 0 Move the constant term to the right: Add '-2' to each side of the equation. 2 + 2.333333333x + -2 + x2 = 0 + -2 Reorder the terms: 2 + -2 + 2.333333333x + x2 = 0 + -2 Combine like terms: 2 + -2 = 0 0 + 2.333333333x + x2 = 0 + -2 2.333333333x + x2 = 0 + -2 Combine like terms: 0 + -2 = -2 2.333333333x + x2 = -2 The x term is 2.333333333x. Take half its coefficient (1.166666667). Square it (1.361111112) and add it to both sides. Add '1.361111112' to each side of the equation. 2.333333333x + 1.361111112 + x2 = -2 + 1.361111112 Reorder the terms: 1.361111112 + 2.333333333x + x2 = -2 + 1.361111112 Combine like terms: -2 + 1.361111112 = -0.638888888 1.361111112 + 2.333333333x + x2 = -0.638888888 Factor a perfect square on the left side: (x + 1.166666667)(x + 1.166666667) = -0.638888888 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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