(7x^2+9x^2+3)+(4x^2+8x+7)=

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Solution for (7x^2+9x^2+3)+(4x^2+8x+7)= equation:


Simplifying
(7x2 + 9x2 + 3) + (4x2 + 8x + 7) = 0

Reorder the terms:
(3 + 7x2 + 9x2) + (4x2 + 8x + 7) = 0

Combine like terms: 7x2 + 9x2 = 16x2
(3 + 16x2) + (4x2 + 8x + 7) = 0

Remove parenthesis around (3 + 16x2)
3 + 16x2 + (4x2 + 8x + 7) = 0

Reorder the terms:
3 + 16x2 + (7 + 8x + 4x2) = 0

Remove parenthesis around (7 + 8x + 4x2)
3 + 16x2 + 7 + 8x + 4x2 = 0

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

Combine like terms: 3 + 7 = 10
10 + 8x + 16x2 + 4x2 = 0

Combine like terms: 16x2 + 4x2 = 20x2
10 + 8x + 20x2 = 0

Solving
10 + 8x + 20x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2'.
2(5 + 4x + 10x2) = 0

Ignore the factor 2.

Subproblem 1

Set the factor '(5 + 4x + 10x2)' equal to zero and attempt to solve: Simplifying 5 + 4x + 10x2 = 0 Solving 5 + 4x + 10x2 = 0 Begin completing the square. Divide all terms by 10 the coefficient of the squared term: Divide each side by '10'. 0.5 + 0.4x + x2 = 0.0 Move the constant term to the right: Add '-0.5' to each side of the equation. 0.5 + 0.4x + -0.5 + x2 = 0.0 + -0.5 Reorder the terms: 0.5 + -0.5 + 0.4x + x2 = 0.0 + -0.5 Combine like terms: 0.5 + -0.5 = 0.0 0.0 + 0.4x + x2 = 0.0 + -0.5 0.4x + x2 = 0.0 + -0.5 Combine like terms: 0.0 + -0.5 = -0.5 0.4x + x2 = -0.5 The x term is 0.4x. Take half its coefficient (0.2). Square it (0.04) and add it to both sides. Add '0.04' to each side of the equation. 0.4x + 0.04 + x2 = -0.5 + 0.04 Reorder the terms: 0.04 + 0.4x + x2 = -0.5 + 0.04 Combine like terms: -0.5 + 0.04 = -0.46 0.04 + 0.4x + x2 = -0.46 Factor a perfect square on the left side: (x + 0.2)(x + 0.2) = -0.46 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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