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Simplifying 0 = (64 + 48x + 9x2) + -1(15 + 11x + 2x2) Remove parenthesis around (64 + 48x + 9x2) 0 = 64 + 48x + 9x2 + -1(15 + 11x + 2x2) 0 = 64 + 48x + 9x2 + (15 * -1 + 11x * -1 + 2x2 * -1) 0 = 64 + 48x + 9x2 + (-15 + -11x + -2x2) Reorder the terms: 0 = 64 + -15 + 48x + -11x + 9x2 + -2x2 Combine like terms: 64 + -15 = 49 0 = 49 + 48x + -11x + 9x2 + -2x2 Combine like terms: 48x + -11x = 37x 0 = 49 + 37x + 9x2 + -2x2 Combine like terms: 9x2 + -2x2 = 7x2 0 = 49 + 37x + 7x2 Solving 0 = 49 + 37x + 7x2 Solving for variable 'x'. Combine like terms: 0 + -49 = -49 -49 + -37x + -7x2 = 49 + 37x + 7x2 + -49 + -37x + -7x2 Reorder the terms: -49 + -37x + -7x2 = 49 + -49 + 37x + -37x + 7x2 + -7x2 Combine like terms: 49 + -49 = 0 -49 + -37x + -7x2 = 0 + 37x + -37x + 7x2 + -7x2 -49 + -37x + -7x2 = 37x + -37x + 7x2 + -7x2 Combine like terms: 37x + -37x = 0 -49 + -37x + -7x2 = 0 + 7x2 + -7x2 -49 + -37x + -7x2 = 7x2 + -7x2 Combine like terms: 7x2 + -7x2 = 0 -49 + -37x + -7x2 = 0 Factor out the Greatest Common Factor (GCF), '-1'. -1(49 + 37x + 7x2) = 0 Ignore the factor -1.Subproblem 1
Set the factor '(49 + 37x + 7x2)' equal to zero and attempt to solve: Simplifying 49 + 37x + 7x2 = 0 Solving 49 + 37x + 7x2 = 0 Begin completing the square. Divide all terms by 7 the coefficient of the squared term: Divide each side by '7'. 7 + 5.285714286x + x2 = 0 Move the constant term to the right: Add '-7' to each side of the equation. 7 + 5.285714286x + -7 + x2 = 0 + -7 Reorder the terms: 7 + -7 + 5.285714286x + x2 = 0 + -7 Combine like terms: 7 + -7 = 0 0 + 5.285714286x + x2 = 0 + -7 5.285714286x + x2 = 0 + -7 Combine like terms: 0 + -7 = -7 5.285714286x + x2 = -7 The x term is 5.285714286x. Take half its coefficient (2.642857143). Square it (6.984693878) and add it to both sides. Add '6.984693878' to each side of the equation. 5.285714286x + 6.984693878 + x2 = -7 + 6.984693878 Reorder the terms: 6.984693878 + 5.285714286x + x2 = -7 + 6.984693878 Combine like terms: -7 + 6.984693878 = -0.015306122 6.984693878 + 5.285714286x + x2 = -0.015306122 Factor a perfect square on the left side: (x + 2.642857143)(x + 2.642857143) = -0.015306122 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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