3x^2+5x^2-4x^2+28x-16x+8+7-5=

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Solution for 3x^2+5x^2-4x^2+28x-16x+8+7-5= equation:


Simplifying
3x2 + 5x2 + -4x2 + 28x + -16x + 8 + 7 + -5 = 0

Reorder the terms:
8 + 7 + -5 + 28x + -16x + 3x2 + 5x2 + -4x2 = 0

Combine like terms: 8 + 7 = 15
15 + -5 + 28x + -16x + 3x2 + 5x2 + -4x2 = 0

Combine like terms: 15 + -5 = 10
10 + 28x + -16x + 3x2 + 5x2 + -4x2 = 0

Combine like terms: 28x + -16x = 12x
10 + 12x + 3x2 + 5x2 + -4x2 = 0

Combine like terms: 3x2 + 5x2 = 8x2
10 + 12x + 8x2 + -4x2 = 0

Combine like terms: 8x2 + -4x2 = 4x2
10 + 12x + 4x2 = 0

Solving
10 + 12x + 4x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2'.
2(5 + 6x + 2x2) = 0

Ignore the factor 2.

Subproblem 1

Set the factor '(5 + 6x + 2x2)' equal to zero and attempt to solve: Simplifying 5 + 6x + 2x2 = 0 Solving 5 + 6x + 2x2 = 0 Begin completing the square. Divide all terms by 2 the coefficient of the squared term: Divide each side by '2'. 2.5 + 3x + x2 = 0 Move the constant term to the right: Add '-2.5' to each side of the equation. 2.5 + 3x + -2.5 + x2 = 0 + -2.5 Reorder the terms: 2.5 + -2.5 + 3x + x2 = 0 + -2.5 Combine like terms: 2.5 + -2.5 = 0.0 0.0 + 3x + x2 = 0 + -2.5 3x + x2 = 0 + -2.5 Combine like terms: 0 + -2.5 = -2.5 3x + x2 = -2.5 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 = -2.5 + 2.25 Reorder the terms: 2.25 + 3x + x2 = -2.5 + 2.25 Combine like terms: -2.5 + 2.25 = -0.25 2.25 + 3x + x2 = -0.25 Factor a perfect square on the left side: (x + 1.5)(x + 1.5) = -0.25 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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