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Simplifying 4x(3 + -1x) = 28 (3 * 4x + -1x * 4x) = 28 (12x + -4x2) = 28 Solving 12x + -4x2 = 28 Solving for variable 'x'. Reorder the terms: -28 + 12x + -4x2 = 28 + -28 Combine like terms: 28 + -28 = 0 -28 + 12x + -4x2 = 0 Factor out the Greatest Common Factor (GCF), '4'. 4(-7 + 3x + -1x2) = 0 Ignore the factor 4.Subproblem 1
Set the factor '(-7 + 3x + -1x2)' equal to zero and attempt to solve: Simplifying -7 + 3x + -1x2 = 0 Solving -7 + 3x + -1x2 = 0 Begin completing the square. Divide all terms by -1 the coefficient of the squared term: Divide each side by '-1'. 7 + -3x + x2 = 0 Move the constant term to the right: Add '-7' to each side of the equation. 7 + -3x + -7 + x2 = 0 + -7 Reorder the terms: 7 + -7 + -3x + x2 = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -3x + x2 = 0 + -7 -3x + x2 = 0 + -7 Combine like terms: 0 + -7 = -7 -3x + x2 = -7 The x term is -3x. Take half its coefficient (-1.5). Square it (2.25) and add it to both sides. Add '2.25' to each side of the equation. -3x + 2.25 + x2 = -7 + 2.25 Reorder the terms: 2.25 + -3x + x2 = -7 + 2.25 Combine like terms: -7 + 2.25 = -4.75 2.25 + -3x + x2 = -4.75 Factor a perfect square on the left side: (x + -1.5)(x + -1.5) = -4.75 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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