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Simplifying (2x + 5)(3x + -4) = 6x2 + cx + -20 Reorder the terms: (5 + 2x)(3x + -4) = 6x2 + cx + -20 Reorder the terms: (5 + 2x)(-4 + 3x) = 6x2 + cx + -20 Multiply (5 + 2x) * (-4 + 3x) (5(-4 + 3x) + 2x * (-4 + 3x)) = 6x2 + cx + -20 ((-4 * 5 + 3x * 5) + 2x * (-4 + 3x)) = 6x2 + cx + -20 ((-20 + 15x) + 2x * (-4 + 3x)) = 6x2 + cx + -20 (-20 + 15x + (-4 * 2x + 3x * 2x)) = 6x2 + cx + -20 (-20 + 15x + (-8x + 6x2)) = 6x2 + cx + -20 Combine like terms: 15x + -8x = 7x (-20 + 7x + 6x2) = 6x2 + cx + -20 Reorder the terms: -20 + 7x + 6x2 = -20 + cx + 6x2 Add '20' to each side of the equation. -20 + 7x + 20 + 6x2 = -20 + cx + 20 + 6x2 Reorder the terms: -20 + 20 + 7x + 6x2 = -20 + cx + 20 + 6x2 Combine like terms: -20 + 20 = 0 0 + 7x + 6x2 = -20 + cx + 20 + 6x2 7x + 6x2 = -20 + cx + 20 + 6x2 Reorder the terms: 7x + 6x2 = -20 + 20 + cx + 6x2 Combine like terms: -20 + 20 = 0 7x + 6x2 = 0 + cx + 6x2 7x + 6x2 = cx + 6x2 Add '-6x2' to each side of the equation. 7x + 6x2 + -6x2 = cx + 6x2 + -6x2 Combine like terms: 6x2 + -6x2 = 0 7x + 0 = cx + 6x2 + -6x2 7x = cx + 6x2 + -6x2 Combine like terms: 6x2 + -6x2 = 0 7x = cx + 0 7x = cx Solving 7x = cx Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1cx' to each side of the equation. -1cx + 7x = cx + -1cx Combine like terms: cx + -1cx = 0 -1cx + 7x = 0 Factor out the Greatest Common Factor (GCF), 'x'. x(-1c + 7) = 0Subproblem 1
Set the factor 'x' equal to zero and attempt to solve: Simplifying x = 0 Solving x = 0 Move all terms containing x to the left, all other terms to the right. Simplifying x = 0Subproblem 2
Set the factor '(-1c + 7)' equal to zero and attempt to solve: Simplifying -1c + 7 = 0 Reorder the terms: 7 + -1c = 0 Solving 7 + -1c = 0 Move all terms containing x to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + -1c = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -1c = 0 + -7 -1c = 0 + -7 Combine like terms: 0 + -7 = -7 -1c = -7 Add 'c' to each side of the equation. -1c + c = -7 + c Combine like terms: -1c + c = 0 0 = -7 + c Simplifying 0 = -7 + c The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Solution
x = {0}
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