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Simplifying 7r2 + -38r + -21 = 3 Reorder the terms: -21 + -38r + 7r2 = 3 Solving -21 + -38r + 7r2 = 3 Solving for variable 'r'. Reorder the terms: -21 + -3 + -38r + 7r2 = 3 + -3 Combine like terms: -21 + -3 = -24 -24 + -38r + 7r2 = 3 + -3 Combine like terms: 3 + -3 = 0 -24 + -38r + 7r2 = 0 Factor a trinomial. (-4 + -7r)(6 + -1r) = 0Subproblem 1
Set the factor '(-4 + -7r)' equal to zero and attempt to solve: Simplifying -4 + -7r = 0 Solving -4 + -7r = 0 Move all terms containing r to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 4 + -7r = 0 + 4 Combine like terms: -4 + 4 = 0 0 + -7r = 0 + 4 -7r = 0 + 4 Combine like terms: 0 + 4 = 4 -7r = 4 Divide each side by '-7'. r = -0.5714285714 Simplifying r = -0.5714285714Subproblem 2
Set the factor '(6 + -1r)' equal to zero and attempt to solve: Simplifying 6 + -1r = 0 Solving 6 + -1r = 0 Move all terms containing r to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + -1r = 0 + -6 Combine like terms: 6 + -6 = 0 0 + -1r = 0 + -6 -1r = 0 + -6 Combine like terms: 0 + -6 = -6 -1r = -6 Divide each side by '-1'. r = 6 Simplifying r = 6Solution
r = {-0.5714285714, 6}
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