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Simplifying 4x(x + 6) = -40 Reorder the terms: 4x(6 + x) = -40 (6 * 4x + x * 4x) = -40 (24x + 4x2) = -40 Solving 24x + 4x2 = -40 Solving for variable 'x'. Reorder the terms: 40 + 24x + 4x2 = -40 + 40 Combine like terms: -40 + 40 = 0 40 + 24x + 4x2 = 0 Factor out the Greatest Common Factor (GCF), '4'. 4(10 + 6x + x2) = 0 Ignore the factor 4.Subproblem 1
Set the factor '(10 + 6x + x2)' equal to zero and attempt to solve: Simplifying 10 + 6x + x2 = 0 Solving 10 + 6x + x2 = 0 Begin completing the square. Move the constant term to the right: Add '-10' to each side of the equation. 10 + 6x + -10 + x2 = 0 + -10 Reorder the terms: 10 + -10 + 6x + x2 = 0 + -10 Combine like terms: 10 + -10 = 0 0 + 6x + x2 = 0 + -10 6x + x2 = 0 + -10 Combine like terms: 0 + -10 = -10 6x + x2 = -10 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 = -10 + 9 Reorder the terms: 9 + 6x + x2 = -10 + 9 Combine like terms: -10 + 9 = -1 9 + 6x + x2 = -1 Factor a perfect square on the left side: (x + 3)(x + 3) = -1 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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