-14x=x^2+96+2304

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Solution for -14x=x^2+96+2304 equation:


Simplifying
-14x = x2 + 96 + 2304

Reorder the terms:
-14x = 96 + 2304 + x2

Combine like terms: 96 + 2304 = 2400
-14x = 2400 + x2

Solving
-14x = 2400 + x2

Solving for variable 'x'.

Reorder the terms:
-2400 + -14x + -1x2 = 2400 + x2 + -2400 + -1x2

Reorder the terms:
-2400 + -14x + -1x2 = 2400 + -2400 + x2 + -1x2

Combine like terms: 2400 + -2400 = 0
-2400 + -14x + -1x2 = 0 + x2 + -1x2
-2400 + -14x + -1x2 = x2 + -1x2

Combine like terms: x2 + -1x2 = 0
-2400 + -14x + -1x2 = 0

Factor out the Greatest Common Factor (GCF), '-1'.
-1(2400 + 14x + x2) = 0

Ignore the factor -1.

Subproblem 1

Set the factor '(2400 + 14x + x2)' equal to zero and attempt to solve: Simplifying 2400 + 14x + x2 = 0 Solving 2400 + 14x + x2 = 0 Begin completing the square. Move the constant term to the right: Add '-2400' to each side of the equation. 2400 + 14x + -2400 + x2 = 0 + -2400 Reorder the terms: 2400 + -2400 + 14x + x2 = 0 + -2400 Combine like terms: 2400 + -2400 = 0 0 + 14x + x2 = 0 + -2400 14x + x2 = 0 + -2400 Combine like terms: 0 + -2400 = -2400 14x + x2 = -2400 The x term is 14x. Take half its coefficient (7). Square it (49) and add it to both sides. Add '49' to each side of the equation. 14x + 49 + x2 = -2400 + 49 Reorder the terms: 49 + 14x + x2 = -2400 + 49 Combine like terms: -2400 + 49 = -2351 49 + 14x + x2 = -2351 Factor a perfect square on the left side: (x + 7)(x + 7) = -2351 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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