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Simplifying 1.44 = X(0.25) * x(0.1) * x(0.05) Reorder the terms for easier multiplication: 1.44 = 0.25 * 0.1 * 0.05X * x * x Multiply 0.25 * 0.1 1.44 = 0.025 * 0.05X * x * x Multiply 0.025 * 0.05 1.44 = 0.00125X * x * x Multiply X * x 1.44 = 0.00125xX * x Multiply xX * x 1.44 = 0.00125x2X Solving 1.44 = 0.00125x2X Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.00125x2X' to each side of the equation. 1.44 + -0.00125x2X = 0.00125x2X + -0.00125x2X Combine like terms: 0.00125x2X + -0.00125x2X = 0.00000 1.44 + -0.00125x2X = 0.00000 Add '-1.44' to each side of the equation. 1.44 + -1.44 + -0.00125x2X = 0.00000 + -1.44 Combine like terms: 1.44 + -1.44 = 0.00 0.00 + -0.00125x2X = 0.00000 + -1.44 -0.00125x2X = 0.00000 + -1.44 Combine like terms: 0.00000 + -1.44 = -1.44 -0.00125x2X = -1.44 Divide each side by '-0.00125X'. x2 = 1152X-1 Simplifying x2 = 1152X-1 Reorder the terms: -1152X-1 + x2 = 1152X-1 + -1152X-1 Combine like terms: 1152X-1 + -1152X-1 = 0 -1152X-1 + x2 = 0 Factor out the Greatest Common Factor (GCF), 'X-1'. X-1(-1152 + x2X) = 0Subproblem 1
Set the factor 'X-1' equal to zero and attempt to solve: Simplifying X-1 = 0 Solving X-1 = 0 Move all terms containing x to the left, all other terms to the right. Add '-1X-1' to each side of the equation. X-1 + -1X-1 = 0 + -1X-1 Remove the zero: 0 = -1X-1 Simplifying 0 = -1X-1 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 '(-1152 + x2X)' equal to zero and attempt to solve: Simplifying -1152 + x2X = 0 Solving -1152 + x2X = 0 Move all terms containing x to the left, all other terms to the right. Add '1152' to each side of the equation. -1152 + 1152 + x2X = 0 + 1152 Combine like terms: -1152 + 1152 = 0 0 + x2X = 0 + 1152 x2X = 0 + 1152 Combine like terms: 0 + 1152 = 1152 x2X = 1152 Divide each side by 'X'. x2 = 1152X-1 Simplifying x2 = 1152X-1 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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