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Simplifying (7x4 + -5)(7x4 + 2) = 0 Reorder the terms: (-5 + 7x4)(7x4 + 2) = 0 Reorder the terms: (-5 + 7x4)(2 + 7x4) = 0 Multiply (-5 + 7x4) * (2 + 7x4) (-5(2 + 7x4) + 7x4 * (2 + 7x4)) = 0 ((2 * -5 + 7x4 * -5) + 7x4 * (2 + 7x4)) = 0 ((-10 + -35x4) + 7x4 * (2 + 7x4)) = 0 (-10 + -35x4 + (2 * 7x4 + 7x4 * 7x4)) = 0 (-10 + -35x4 + (14x4 + 49x8)) = 0 Combine like terms: -35x4 + 14x4 = -21x4 (-10 + -21x4 + 49x8) = 0 Solving -10 + -21x4 + 49x8 = 0 Solving for variable 'x'. Factor a trinomial. (-2 + -7x4)(5 + -7x4) = 0Subproblem 1
Set the factor '(-2 + -7x4)' equal to zero and attempt to solve: Simplifying -2 + -7x4 = 0 Solving -2 + -7x4 = 0 Move all terms containing x to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + -7x4 = 0 + 2 Combine like terms: -2 + 2 = 0 0 + -7x4 = 0 + 2 -7x4 = 0 + 2 Combine like terms: 0 + 2 = 2 -7x4 = 2 Divide each side by '-7'. x4 = -0.2857142857 Simplifying x4 = -0.2857142857 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 '(5 + -7x4)' equal to zero and attempt to solve: Simplifying 5 + -7x4 = 0 Solving 5 + -7x4 = 0 Move all terms containing x to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + -7x4 = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -7x4 = 0 + -5 -7x4 = 0 + -5 Combine like terms: 0 + -5 = -5 -7x4 = -5 Divide each side by '-7'. x4 = 0.7142857143 Simplifying x4 = 0.7142857143 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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