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Simplifying -7x2 + 22x + -7 = -4 Reorder the terms: -7 + 22x + -7x2 = -4 Solving -7 + 22x + -7x2 = -4 Solving for variable 'x'. Reorder the terms: -7 + 4 + 22x + -7x2 = -4 + 4 Combine like terms: -7 + 4 = -3 -3 + 22x + -7x2 = -4 + 4 Combine like terms: -4 + 4 = 0 -3 + 22x + -7x2 = 0 Factor a trinomial. (-3 + x)(1 + -7x) = 0Subproblem 1
Set the factor '(-3 + x)' equal to zero and attempt to solve: Simplifying -3 + x = 0 Solving -3 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 3 + x = 0 + 3 Combine like terms: -3 + 3 = 0 0 + x = 0 + 3 x = 0 + 3 Combine like terms: 0 + 3 = 3 x = 3 Simplifying x = 3Subproblem 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 = {3, 0.1428571429}
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