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Simplifying 28x(x + -1) = -21x2 + 5 Reorder the terms: 28x(-1 + x) = -21x2 + 5 (-1 * 28x + x * 28x) = -21x2 + 5 (-28x + 28x2) = -21x2 + 5 Reorder the terms: -28x + 28x2 = 5 + -21x2 Solving -28x + 28x2 = 5 + -21x2 Solving for variable 'x'. Reorder the terms: -5 + -28x + 28x2 + 21x2 = 5 + -21x2 + -5 + 21x2 Combine like terms: 28x2 + 21x2 = 49x2 -5 + -28x + 49x2 = 5 + -21x2 + -5 + 21x2 Reorder the terms: -5 + -28x + 49x2 = 5 + -5 + -21x2 + 21x2 Combine like terms: 5 + -5 = 0 -5 + -28x + 49x2 = 0 + -21x2 + 21x2 -5 + -28x + 49x2 = -21x2 + 21x2 Combine like terms: -21x2 + 21x2 = 0 -5 + -28x + 49x2 = 0 Factor a trinomial. (-1 + -7x)(5 + -7x) = 0Subproblem 1
Set the factor '(-1 + -7x)' equal to zero and attempt to solve: Simplifying -1 + -7x = 0 Solving -1 + -7x = 0 Move all terms containing x to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + -7x = 0 + 1 Combine like terms: -1 + 1 = 0 0 + -7x = 0 + 1 -7x = 0 + 1 Combine like terms: 0 + 1 = 1 -7x = 1 Divide each side by '-7'. x = -0.1428571429 Simplifying x = -0.1428571429Subproblem 2
Set the factor '(5 + -7x)' equal to zero and attempt to solve: Simplifying 5 + -7x = 0 Solving 5 + -7x = 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 + -7x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -7x = 0 + -5 -7x = 0 + -5 Combine like terms: 0 + -5 = -5 -7x = -5 Divide each side by '-7'. x = 0.7142857143 Simplifying x = 0.7142857143Solution
x = {-0.1428571429, 0.7142857143}
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