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Simplifying findx(4x + -6) + -7 = 25 Reorder the terms: dfinx(-6 + 4x) + -7 = 25 (-6 * dfinx + 4x * dfinx) + -7 = 25 (-6dfinx + 4dfinx2) + -7 = 25 Reorder the terms: -7 + -6dfinx + 4dfinx2 = 25 Solving -7 + -6dfinx + 4dfinx2 = 25 Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '7' to each side of the equation. -7 + -6dfinx + 7 + 4dfinx2 = 25 + 7 Reorder the terms: -7 + 7 + -6dfinx + 4dfinx2 = 25 + 7 Combine like terms: -7 + 7 = 0 0 + -6dfinx + 4dfinx2 = 25 + 7 -6dfinx + 4dfinx2 = 25 + 7 Combine like terms: 25 + 7 = 32 -6dfinx + 4dfinx2 = 32 Reorder the terms: -32 + -6dfinx + 4dfinx2 = 32 + -32 Combine like terms: 32 + -32 = 0 -32 + -6dfinx + 4dfinx2 = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(-16 + -3dfinx + 2dfinx2) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-16 + -3dfinx + 2dfinx2)' equal to zero and attempt to solve: Simplifying -16 + -3dfinx + 2dfinx2 = 0 Solving -16 + -3dfinx + 2dfinx2 = 0 Move all terms containing d to the left, all other terms to the right. Add '16' to each side of the equation. -16 + -3dfinx + 16 + 2dfinx2 = 0 + 16 Reorder the terms: -16 + 16 + -3dfinx + 2dfinx2 = 0 + 16 Combine like terms: -16 + 16 = 0 0 + -3dfinx + 2dfinx2 = 0 + 16 -3dfinx + 2dfinx2 = 0 + 16 Combine like terms: 0 + 16 = 16 -3dfinx + 2dfinx2 = 16 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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