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Simplifying 7x2 + -24x + -21 = -5 Reorder the terms: -21 + -24x + 7x2 = -5 Solving -21 + -24x + 7x2 = -5 Solving for variable 'x'. Reorder the terms: -21 + 5 + -24x + 7x2 = -5 + 5 Combine like terms: -21 + 5 = -16 -16 + -24x + 7x2 = -5 + 5 Combine like terms: -5 + 5 = 0 -16 + -24x + 7x2 = 0 Factor a trinomial. (-4 + -7x)(4 + -1x) = 0Subproblem 1
Set the factor '(-4 + -7x)' equal to zero and attempt to solve: Simplifying -4 + -7x = 0 Solving -4 + -7x = 0 Move all terms containing x to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 4 + -7x = 0 + 4 Combine like terms: -4 + 4 = 0 0 + -7x = 0 + 4 -7x = 0 + 4 Combine like terms: 0 + 4 = 4 -7x = 4 Divide each side by '-7'. x = -0.5714285714 Simplifying x = -0.5714285714Subproblem 2
Set the factor '(4 + -1x)' equal to zero and attempt to solve: Simplifying 4 + -1x = 0 Solving 4 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + -1x = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -1x = 0 + -4 -1x = 0 + -4 Combine like terms: 0 + -4 = -4 -1x = -4 Divide each side by '-1'. x = 4 Simplifying x = 4Solution
x = {-0.5714285714, 4}
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