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Simplifying 21x2 + 4x + 5 = 6 Reorder the terms: 5 + 4x + 21x2 = 6 Solving 5 + 4x + 21x2 = 6 Solving for variable 'x'. Reorder the terms: 5 + -6 + 4x + 21x2 = 6 + -6 Combine like terms: 5 + -6 = -1 -1 + 4x + 21x2 = 6 + -6 Combine like terms: 6 + -6 = 0 -1 + 4x + 21x2 = 0 Factor a trinomial. (-1 + -3x)(1 + -7x) = 0Subproblem 1
Set the factor '(-1 + -3x)' equal to zero and attempt to solve: Simplifying -1 + -3x = 0 Solving -1 + -3x = 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 + -3x = 0 + 1 Combine like terms: -1 + 1 = 0 0 + -3x = 0 + 1 -3x = 0 + 1 Combine like terms: 0 + 1 = 1 -3x = 1 Divide each side by '-3'. x = -0.3333333333 Simplifying x = -0.3333333333Subproblem 2
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 = 0.1428571429Solution
x = {-0.3333333333, 0.1428571429}
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