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Simplifying 40x2 + 30x2 + x4 = 1800 Combine like terms: 40x2 + 30x2 = 70x2 70x2 + x4 = 1800 Solving 70x2 + x4 = 1800 Solving for variable 'x'. Reorder the terms: -1800 + 70x2 + x4 = 1800 + -1800 Combine like terms: 1800 + -1800 = 0 -1800 + 70x2 + x4 = 0 Factor a trinomial. (-90 + -1x2)(20 + -1x2) = 0Subproblem 1
Set the factor '(-90 + -1x2)' equal to zero and attempt to solve: Simplifying -90 + -1x2 = 0 Solving -90 + -1x2 = 0 Move all terms containing x to the left, all other terms to the right. Add '90' to each side of the equation. -90 + 90 + -1x2 = 0 + 90 Combine like terms: -90 + 90 = 0 0 + -1x2 = 0 + 90 -1x2 = 0 + 90 Combine like terms: 0 + 90 = 90 -1x2 = 90 Divide each side by '-1'. x2 = -90 Simplifying x2 = -90 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 '(20 + -1x2)' equal to zero and attempt to solve: Simplifying 20 + -1x2 = 0 Solving 20 + -1x2 = 0 Move all terms containing x to the left, all other terms to the right. Add '-20' to each side of the equation. 20 + -20 + -1x2 = 0 + -20 Combine like terms: 20 + -20 = 0 0 + -1x2 = 0 + -20 -1x2 = 0 + -20 Combine like terms: 0 + -20 = -20 -1x2 = -20 Divide each side by '-1'. x2 = 20 Simplifying x2 = 20 Take the square root of each side: x = {-4.472135955, 4.472135955}Solution
x = {-4.472135955, 4.472135955}
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