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Simplifying 76x(7v + -8x + 9b) = 25xvb Reorder the terms: 76x(9b + 7v + -8x) = 25xvb (9b * 76x + 7v * 76x + -8x * 76x) = 25xvb (684bx + 532vx + -608x2) = 25xvb Solving 684bx + 532vx + -608x2 = 25bvx Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-25bvx' to each side of the equation. 684bx + 532vx + -25bvx + -608x2 = 25bvx + -25bvx Reorder the terms: -25bvx + 684bx + 532vx + -608x2 = 25bvx + -25bvx Combine like terms: 25bvx + -25bvx = 0 -25bvx + 684bx + 532vx + -608x2 = 0 Add '-532vx' to each side of the equation. -25bvx + 684bx + 532vx + -532vx + -608x2 = 0 + -532vx Combine like terms: 532vx + -532vx = 0 -25bvx + 684bx + 0 + -608x2 = 0 + -532vx -25bvx + 684bx + -608x2 = 0 + -532vx Remove the zero: -25bvx + 684bx + -608x2 = -532vx Add '608x2' to each side of the equation. -25bvx + 684bx + -608x2 + 608x2 = -532vx + 608x2 Combine like terms: -608x2 + 608x2 = 0 -25bvx + 684bx + 0 = -532vx + 608x2 -25bvx + 684bx = -532vx + 608x2 Reorder the terms: -25bvx + 684bx + 532vx + -608x2 = -532vx + 532vx + 608x2 + -608x2 Combine like terms: -532vx + 532vx = 0 -25bvx + 684bx + 532vx + -608x2 = 0 + 608x2 + -608x2 -25bvx + 684bx + 532vx + -608x2 = 608x2 + -608x2 Combine like terms: 608x2 + -608x2 = 0 -25bvx + 684bx + 532vx + -608x2 = 0 Factor out the Greatest Common Factor (GCF), 'x'. x(-25bv + 684b + 532v + -608x) = 0Subproblem 1
Set the factor 'x' equal to zero and attempt to solve: Simplifying x = 0 Solving x = 0 Move all terms containing b to the left, all other terms to the right. Add '-1x' to each side of the equation. x + -1x = 0 + -1x Remove the zero: 0 = -1x Simplifying 0 = -1x The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Subproblem 2
Set the factor '(-25bv + 684b + 532v + -608x)' equal to zero and attempt to solve: Simplifying -25bv + 684b + 532v + -608x = 0 Reorder the terms: 684b + -25bv + 532v + -608x = 0 Solving 684b + -25bv + 532v + -608x = 0 Move all terms containing b to the left, all other terms to the right. Add '-532v' to each side of the equation. 684b + -25bv + 532v + -532v + -608x = 0 + -532v Combine like terms: 532v + -532v = 0 684b + -25bv + 0 + -608x = 0 + -532v 684b + -25bv + -608x = 0 + -532v Remove the zero: 684b + -25bv + -608x = -532v Add '608x' to each side of the equation. 684b + -25bv + -608x + 608x = -532v + 608x Combine like terms: -608x + 608x = 0 684b + -25bv + 0 = -532v + 608x 684b + -25bv = -532v + 608x 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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