(-4(x^2+x)-7x)-(5x+6x^2+9)=

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Solution for (-4(x^2+x)-7x)-(5x+6x^2+9)= equation:


Simplifying
(-4(x2 + x) + -7x) + -1(5x + 6x2 + 9) = 0

Reorder the terms:
(-4(x + x2) + -7x) + -1(5x + 6x2 + 9) = 0
((x * -4 + x2 * -4) + -7x) + -1(5x + 6x2 + 9) = 0
((-4x + -4x2) + -7x) + -1(5x + 6x2 + 9) = 0

Reorder the terms:
(-4x + -7x + -4x2) + -1(5x + 6x2 + 9) = 0

Combine like terms: -4x + -7x = -11x
(-11x + -4x2) + -1(5x + 6x2 + 9) = 0

Remove parenthesis around (-11x + -4x2)
-11x + -4x2 + -1(5x + 6x2 + 9) = 0

Reorder the terms:
-11x + -4x2 + -1(9 + 5x + 6x2) = 0
-11x + -4x2 + (9 * -1 + 5x * -1 + 6x2 * -1) = 0
-11x + -4x2 + (-9 + -5x + -6x2) = 0

Reorder the terms:
-9 + -11x + -5x + -4x2 + -6x2 = 0

Combine like terms: -11x + -5x = -16x
-9 + -16x + -4x2 + -6x2 = 0

Combine like terms: -4x2 + -6x2 = -10x2
-9 + -16x + -10x2 = 0

Solving
-9 + -16x + -10x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '-1'.
-1(9 + 16x + 10x2) = 0

Ignore the factor -1.

Subproblem 1

Set the factor '(9 + 16x + 10x2)' equal to zero and attempt to solve: Simplifying 9 + 16x + 10x2 = 0 Solving 9 + 16x + 10x2 = 0 Begin completing the square. Divide all terms by 10 the coefficient of the squared term: Divide each side by '10'. 0.9 + 1.6x + x2 = 0.0 Move the constant term to the right: Add '-0.9' to each side of the equation. 0.9 + 1.6x + -0.9 + x2 = 0.0 + -0.9 Reorder the terms: 0.9 + -0.9 + 1.6x + x2 = 0.0 + -0.9 Combine like terms: 0.9 + -0.9 = 0.0 0.0 + 1.6x + x2 = 0.0 + -0.9 1.6x + x2 = 0.0 + -0.9 Combine like terms: 0.0 + -0.9 = -0.9 1.6x + x2 = -0.9 The x term is 1.6x. Take half its coefficient (0.8). Square it (0.64) and add it to both sides. Add '0.64' to each side of the equation. 1.6x + 0.64 + x2 = -0.9 + 0.64 Reorder the terms: 0.64 + 1.6x + x2 = -0.9 + 0.64 Combine like terms: -0.9 + 0.64 = -0.26 0.64 + 1.6x + x2 = -0.26 Factor a perfect square on the left side: (x + 0.8)(x + 0.8) = -0.26 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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