=(4x^2+39x+675)

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Solution for =(4x^2+39x+675) equation:


Simplifying
0 = (4x2 + 39x + 675)

Reorder the terms:
0 = (675 + 39x + 4x2)

Remove parenthesis around (675 + 39x + 4x2)
0 = 675 + 39x + 4x2

Solving
0 = 675 + 39x + 4x2

Solving for variable 'x'.

Combine like terms: 0 + -675 = -675
-675 + -39x + -4x2 = 675 + 39x + 4x2 + -675 + -39x + -4x2

Reorder the terms:
-675 + -39x + -4x2 = 675 + -675 + 39x + -39x + 4x2 + -4x2

Combine like terms: 675 + -675 = 0
-675 + -39x + -4x2 = 0 + 39x + -39x + 4x2 + -4x2
-675 + -39x + -4x2 = 39x + -39x + 4x2 + -4x2

Combine like terms: 39x + -39x = 0
-675 + -39x + -4x2 = 0 + 4x2 + -4x2
-675 + -39x + -4x2 = 4x2 + -4x2

Combine like terms: 4x2 + -4x2 = 0
-675 + -39x + -4x2 = 0

Factor out the Greatest Common Factor (GCF), '-1'.
-1(675 + 39x + 4x2) = 0

Ignore the factor -1.

Subproblem 1

Set the factor '(675 + 39x + 4x2)' equal to zero and attempt to solve: Simplifying 675 + 39x + 4x2 = 0 Solving 675 + 39x + 4x2 = 0 Begin completing the square. Divide all terms by 4 the coefficient of the squared term: Divide each side by '4'. 168.75 + 9.75x + x2 = 0 Move the constant term to the right: Add '-168.75' to each side of the equation. 168.75 + 9.75x + -168.75 + x2 = 0 + -168.75 Reorder the terms: 168.75 + -168.75 + 9.75x + x2 = 0 + -168.75 Combine like terms: 168.75 + -168.75 = 0.00 0.00 + 9.75x + x2 = 0 + -168.75 9.75x + x2 = 0 + -168.75 Combine like terms: 0 + -168.75 = -168.75 9.75x + x2 = -168.75 The x term is 9.75x. Take half its coefficient (4.875). Square it (23.765625) and add it to both sides. Add '23.765625' to each side of the equation. 9.75x + 23.765625 + x2 = -168.75 + 23.765625 Reorder the terms: 23.765625 + 9.75x + x2 = -168.75 + 23.765625 Combine like terms: -168.75 + 23.765625 = -144.984375 23.765625 + 9.75x + x2 = -144.984375 Factor a perfect square on the left side: (x + 4.875)(x + 4.875) = -144.984375 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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