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Simplifying F(x) * 5x + -4y = 18 Reorder the terms for easier multiplication: 5F * x * x + -4y = 18 Multiply F * x 5xF * x + -4y = 18 Multiply xF * x 5x2F + -4y = 18 Solving 5x2F + -4y = 18 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4y' to each side of the equation. 5x2F + -4y + 4y = 18 + 4y Combine like terms: -4y + 4y = 0 5x2F + 0 = 18 + 4y 5x2F = 18 + 4y Divide each side by '5F'. x2 = 3.6F-1 + 0.8yF-1 Simplifying x2 = 3.6F-1 + 0.8yF-1 Reorder the terms: -3.6F-1 + x2 + -0.8yF-1 = 3.6F-1 + 0.8yF-1 + -3.6F-1 + -0.8yF-1 Reorder the terms: -3.6F-1 + x2 + -0.8yF-1 = 3.6F-1 + -3.6F-1 + 0.8yF-1 + -0.8yF-1 Combine like terms: 3.6F-1 + -3.6F-1 = 0.0 -3.6F-1 + x2 + -0.8yF-1 = 0.0 + 0.8yF-1 + -0.8yF-1 -3.6F-1 + x2 + -0.8yF-1 = 0.8yF-1 + -0.8yF-1 Combine like terms: 0.8yF-1 + -0.8yF-1 = 0.0 -3.6F-1 + x2 + -0.8yF-1 = 0.0 Factor out the Greatest Common Factor (GCF), 'F-1'. F-1(-3.6 + x2F + -0.8y) = 0.0Subproblem 1
Set the factor 'F-1' equal to zero and attempt to solve: Simplifying F-1 = 0 Solving F-1 = 0 Move all terms containing x to the left, all other terms to the right. Add '-1F-1' to each side of the equation. F-1 + -1F-1 = 0 + -1F-1 Remove the zero: 0 = -1F-1 Simplifying 0 = -1F-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 '(-3.6 + x2F + -0.8y)' equal to zero and attempt to solve: Simplifying -3.6 + x2F + -0.8y = 0 Solving -3.6 + x2F + -0.8y = 0 Move all terms containing x to the left, all other terms to the right. Add '3.6' to each side of the equation. -3.6 + x2F + 3.6 + -0.8y = 0 + 3.6 Reorder the terms: -3.6 + 3.6 + x2F + -0.8y = 0 + 3.6 Combine like terms: -3.6 + 3.6 = 0.0 0.0 + x2F + -0.8y = 0 + 3.6 x2F + -0.8y = 0 + 3.6 Combine like terms: 0 + 3.6 = 3.6 x2F + -0.8y = 3.6 Add '0.8y' to each side of the equation. x2F + -0.8y + 0.8y = 3.6 + 0.8y Combine like terms: -0.8y + 0.8y = 0.0 x2F + 0.0 = 3.6 + 0.8y x2F = 3.6 + 0.8y Divide each side by 'F'. x2 = 3.6F-1 + 0.8yF-1 Simplifying x2 = 3.6F-1 + 0.8yF-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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