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Simplifying 25x10 + -49x4 = 0 Reorder the terms: -49x4 + 25x10 = 0 Solving -49x4 + 25x10 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), 'x4'. x4(-49 + 25x6) = 0 Factor a difference between two squares. x4((7 + 5x3)(-7 + 5x3)) = 0Subproblem 1
Set the factor 'x4' equal to zero and attempt to solve: Simplifying x4 = 0 Solving x4 = 0 Move all terms containing x to the left, all other terms to the right. Simplifying x4 = 0 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 '(7 + 5x3)' equal to zero and attempt to solve: Simplifying 7 + 5x3 = 0 Solving 7 + 5x3 = 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 + 5x3 = 0 + -7 Combine like terms: 7 + -7 = 0 0 + 5x3 = 0 + -7 5x3 = 0 + -7 Combine like terms: 0 + -7 = -7 5x3 = -7 Divide each side by '5'. x3 = -1.4 Simplifying x3 = -1.4 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 + 5x3)' equal to zero and attempt to solve: Simplifying -7 + 5x3 = 0 Solving -7 + 5x3 = 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 + 5x3 = 0 + 7 Combine like terms: -7 + 7 = 0 0 + 5x3 = 0 + 7 5x3 = 0 + 7 Combine like terms: 0 + 7 = 7 5x3 = 7 Divide each side by '5'. x3 = 1.4 Simplifying x3 = 1.4 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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