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Simplifying 32 = 4(3y + -5) * findy Reorder the terms: 32 = 4(-5 + 3y) * findy Reorder the terms for easier multiplication: 32 = 4dfiny(-5 + 3y) 32 = (-5 * 4dfiny + 3y * 4dfiny) 32 = (-20dfiny + 12dfiny2) Solving 32 = -20dfiny + 12dfiny2 Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '20dfiny' to each side of the equation. 32 + 20dfiny = -20dfiny + 20dfiny + 12dfiny2 Combine like terms: -20dfiny + 20dfiny = 0 32 + 20dfiny = 0 + 12dfiny2 32 + 20dfiny = 12dfiny2 Add '-12dfiny2' to each side of the equation. 32 + 20dfiny + -12dfiny2 = 12dfiny2 + -12dfiny2 Combine like terms: 12dfiny2 + -12dfiny2 = 0 32 + 20dfiny + -12dfiny2 = 0 Add '-32' to each side of the equation. 32 + 20dfiny + -32 + -12dfiny2 = 0 + -32 Reorder the terms: 32 + -32 + 20dfiny + -12dfiny2 = 0 + -32 Combine like terms: 32 + -32 = 0 0 + 20dfiny + -12dfiny2 = 0 + -32 20dfiny + -12dfiny2 = 0 + -32 Combine like terms: 0 + -32 = -32 20dfiny + -12dfiny2 = -32 Reorder the terms: 32 + 20dfiny + -12dfiny2 = -32 + 32 Combine like terms: -32 + 32 = 0 32 + 20dfiny + -12dfiny2 = 0 Factor out the Greatest Common Factor (GCF), '4'. 4(8 + 5dfiny + -3dfiny2) = 0 Ignore the factor 4.Subproblem 1
Set the factor '(8 + 5dfiny + -3dfiny2)' equal to zero and attempt to solve: Simplifying 8 + 5dfiny + -3dfiny2 = 0 Solving 8 + 5dfiny + -3dfiny2 = 0 Move all terms containing d to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + 5dfiny + -8 + -3dfiny2 = 0 + -8 Reorder the terms: 8 + -8 + 5dfiny + -3dfiny2 = 0 + -8 Combine like terms: 8 + -8 = 0 0 + 5dfiny + -3dfiny2 = 0 + -8 5dfiny + -3dfiny2 = 0 + -8 Combine like terms: 0 + -8 = -8 5dfiny + -3dfiny2 = -8 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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