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Simplifying 0 = (-3x2) + -1(18x) + -8400 Remove parenthesis around (18x) 0 = (-3x2) + -1 * 18x + -8400 Multiply -1 * 18 0 = (-3x2) + -18x + -8400 Reorder the terms: 0 = -8400 + -18x + (-3x2) Solving 0 = -8400 + -18x + (-3x2) Solving for variable 'x'. Combine like terms: 0 + 8400 = 8400 8400 + 18x + (3x2) = -8400 + -18x + (-3x2) + 8400 + 18x + (3x2) Reorder the terms: 8400 + 18x + (3x2) = -8400 + 8400 + -18x + 18x + (-3x2) + (3x2) Combine like terms: -8400 + 8400 = 0 8400 + 18x + (3x2) = 0 + -18x + 18x + (-3x2) + (3x2) 8400 + 18x + (3x2) = -18x + 18x + (-3x2) + (3x2) Combine like terms: -18x + 18x = 0 8400 + 18x + (3x2) = 0 + (-3x2) + (3x2) 8400 + 18x + (3x2) = (-3x2) + (3x2) Combine like terms: (-3x2) + (3x2) = 0 8400 + 18x + (3x2) = 0 Factor out the Greatest Common Factor (GCF), '3'. 3(2800 + 6x + x2) = 0 Ignore the factor 3.Subproblem 1
Set the factor '(2800 + 6x + x2)' equal to zero and attempt to solve: Simplifying 2800 + 6x + x2 = 0 Solving 2800 + 6x + x2 = 0 Begin completing the square. Move the constant term to the right: Add '-2800' to each side of the equation. 2800 + 6x + -2800 + x2 = 0 + -2800 Reorder the terms: 2800 + -2800 + 6x + x2 = 0 + -2800 Combine like terms: 2800 + -2800 = 0 0 + 6x + x2 = 0 + -2800 6x + x2 = 0 + -2800 Combine like terms: 0 + -2800 = -2800 6x + x2 = -2800 The x term is 6x. Take half its coefficient (3). Square it (9) and add it to both sides. Add '9' to each side of the equation. 6x + 9 + x2 = -2800 + 9 Reorder the terms: 9 + 6x + x2 = -2800 + 9 Combine like terms: -2800 + 9 = -2791 9 + 6x + x2 = -2791 Factor a perfect square on the left side: (x + 3)(x + 3) = -2791 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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