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Simplifying 0 = (x3 + 5x + -7) * tanx Reorder the terms: 0 = (-7 + 5x + x3) * tanx Reorder the terms for easier multiplication: 0 = antx(-7 + 5x + x3) 0 = (-7 * antx + 5x * antx + x3 * antx) 0 = (-7antx + 5antx2 + antx4) Solving 0 = -7antx + 5antx2 + antx4 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '7antx' to each side of the equation. 0 + 7antx = -7antx + 5antx2 + 7antx + antx4 Remove the zero: 7antx = -7antx + 5antx2 + 7antx + antx4 Reorder the terms: 7antx = -7antx + 7antx + 5antx2 + antx4 Combine like terms: -7antx + 7antx = 0 7antx = 0 + 5antx2 + antx4 7antx = 5antx2 + antx4 Add '-5antx2' to each side of the equation. 7antx + -5antx2 = 5antx2 + -5antx2 + antx4 Combine like terms: 5antx2 + -5antx2 = 0 7antx + -5antx2 = 0 + antx4 7antx + -5antx2 = antx4 Add '-1antx4' to each side of the equation. 7antx + -5antx2 + -1antx4 = antx4 + -1antx4 Combine like terms: antx4 + -1antx4 = 0 7antx + -5antx2 + -1antx4 = 0 Factor out the Greatest Common Factor (GCF), 'antx'. antx(7 + -5x + -1x3) = 0Subproblem 1
Set the factor 'antx' equal to zero and attempt to solve: Simplifying antx = 0 Solving antx = 0 Move all terms containing a to the left, all other terms to the right. Simplifying antx = 0 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 '(7 + -5x + -1x3)' equal to zero and attempt to solve: Simplifying 7 + -5x + -1x3 = 0 Solving 7 + -5x + -1x3 = 0 Move all terms containing a to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -5x + -7 + -1x3 = 0 + -7 Reorder the terms: 7 + -7 + -5x + -1x3 = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -5x + -1x3 = 0 + -7 -5x + -1x3 = 0 + -7 Combine like terms: 0 + -7 = -7 -5x + -1x3 = -7 Add '5x' to each side of the equation. -5x + 5x + -1x3 = -7 + 5x Combine like terms: -5x + 5x = 0 0 + -1x3 = -7 + 5x -1x3 = -7 + 5x Add 'x3' to each side of the equation. -1x3 + x3 = -7 + 5x + x3 Combine like terms: -1x3 + x3 = 0 0 = -7 + 5x + x3 Simplifying 0 = -7 + 5x + x3 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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