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Simplifying 3 + -1(x + 3)(x + 3) = 1200 Reorder the terms: 3 + -1(3 + x)(x + 3) = 1200 Reorder the terms: 3 + -1(3 + x)(3 + x) = 1200 Multiply (3 + x) * (3 + x) 3 + -1(3(3 + x) + x(3 + x)) = 1200 3 + -1((3 * 3 + x * 3) + x(3 + x)) = 1200 3 + -1((9 + 3x) + x(3 + x)) = 1200 3 + -1(9 + 3x + (3 * x + x * x)) = 1200 3 + -1(9 + 3x + (3x + x2)) = 1200 Combine like terms: 3x + 3x = 6x 3 + -1(9 + 6x + x2) = 1200 3 + (9 * -1 + 6x * -1 + x2 * -1) = 1200 3 + (-9 + -6x + -1x2) = 1200 Combine like terms: 3 + -9 = -6 -6 + -6x + -1x2 = 1200 Solving -6 + -6x + -1x2 = 1200 Solving for variable 'x'. Reorder the terms: -6 + -1200 + -6x + -1x2 = 1200 + -1200 Combine like terms: -6 + -1200 = -1206 -1206 + -6x + -1x2 = 1200 + -1200 Combine like terms: 1200 + -1200 = 0 -1206 + -6x + -1x2 = 0 Factor out the Greatest Common Factor (GCF), '-1'. -1(1206 + 6x + x2) = 0 Ignore the factor -1.Subproblem 1
Set the factor '(1206 + 6x + x2)' equal to zero and attempt to solve: Simplifying 1206 + 6x + x2 = 0 Solving 1206 + 6x + x2 = 0 Begin completing the square. Move the constant term to the right: Add '-1206' to each side of the equation. 1206 + 6x + -1206 + x2 = 0 + -1206 Reorder the terms: 1206 + -1206 + 6x + x2 = 0 + -1206 Combine like terms: 1206 + -1206 = 0 0 + 6x + x2 = 0 + -1206 6x + x2 = 0 + -1206 Combine like terms: 0 + -1206 = -1206 6x + x2 = -1206 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 = -1206 + 9 Reorder the terms: 9 + 6x + x2 = -1206 + 9 Combine like terms: -1206 + 9 = -1197 9 + 6x + x2 = -1197 Factor a perfect square on the left side: (x + 3)(x + 3) = -1197 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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