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Simplifying 4x5 + -49x = 0 Reorder the terms: -49x + 4x5 = 0 Solving -49x + 4x5 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), 'x'. x(-49 + 4x4) = 0 Factor a difference between two squares. x((7 + 2x2)(-7 + 2x2)) = 0Subproblem 1
Set the factor 'x' equal to zero and attempt to solve: Simplifying x = 0 Solving x = 0 Move all terms containing x to the left, all other terms to the right. Simplifying x = 0Subproblem 2
Set the factor '(7 + 2x2)' equal to zero and attempt to solve: Simplifying 7 + 2x2 = 0 Solving 7 + 2x2 = 0 Move all terms containing x to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + 2x2 = 0 + -7 Combine like terms: 7 + -7 = 0 0 + 2x2 = 0 + -7 2x2 = 0 + -7 Combine like terms: 0 + -7 = -7 2x2 = -7 Divide each side by '2'. x2 = -3.5 Simplifying x2 = -3.5 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Subproblem 3
Set the factor '(-7 + 2x2)' equal to zero and attempt to solve: Simplifying -7 + 2x2 = 0 Solving -7 + 2x2 = 0 Move all terms containing x to the left, all other terms to the right. Add '7' to each side of the equation. -7 + 7 + 2x2 = 0 + 7 Combine like terms: -7 + 7 = 0 0 + 2x2 = 0 + 7 2x2 = 0 + 7 Combine like terms: 0 + 7 = 7 2x2 = 7 Divide each side by '2'. x2 = 3.5 Simplifying x2 = 3.5 Take the square root of each side: x = {-1.870828693, 1.870828693}Solution
x = {0, -1.870828693, 1.870828693}
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