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Simplifying X4 + 0x3 + -37x2 = -36 Anything times zero is zero. X4 + 0x3 + -37x2 = -36 Reorder the terms: 0 + X4 + -37x2 = -36 Remove the zero: X4 + -37x2 = -36 Solving X4 + -37x2 = -36 Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '37x2' to each side of the equation. X4 + -37x2 + 37x2 = -36 + 37x2 Combine like terms: -37x2 + 37x2 = 0 X4 + 0 = -36 + 37x2 X4 = -36 + 37x2 Simplifying X4 = -36 + 37x2 Reorder the terms: 36 + X4 + -37x2 = -36 + 37x2 + 36 + -37x2 Reorder the terms: 36 + X4 + -37x2 = -36 + 36 + 37x2 + -37x2 Combine like terms: -36 + 36 = 0 36 + X4 + -37x2 = 0 + 37x2 + -37x2 36 + X4 + -37x2 = 37x2 + -37x2 Combine like terms: 37x2 + -37x2 = 0 36 + X4 + -37x2 = 0 Factor a trinomial. (X2 + -1x)(X2 + 37x) = 0Subproblem 1
Set the factor '(X2 + -1x)' equal to zero and attempt to solve: Simplifying X2 + -1x = 0 Solving X2 + -1x = 0 Move all terms containing X to the left, all other terms to the right. Add 'x' to each side of the equation. X2 + -1x + x = 0 + x Combine like terms: -1x + x = 0 X2 + 0 = 0 + x X2 = 0 + x Remove the zero: X2 = x Simplifying X2 = x 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 '(X2 + 37x)' equal to zero and attempt to solve: Simplifying X2 + 37x = 0 Solving X2 + 37x = 0 Move all terms containing X to the left, all other terms to the right. Add '-37x' to each side of the equation. X2 + 37x + -37x = 0 + -37x Combine like terms: 37x + -37x = 0 X2 + 0 = 0 + -37x X2 = 0 + -37x Remove the zero: X2 = -37x Simplifying X2 = -37x 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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