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Simplifying 0 = 4x2 + -61x + 210 Reorder the terms: 0 = 210 + -61x + 4x2 Solving 0 = 210 + -61x + 4x2 Solving for variable 'x'. Combine like terms: 0 + -210 = -210 -210 + 61x + -4x2 = 210 + -61x + 4x2 + -210 + 61x + -4x2 Reorder the terms: -210 + 61x + -4x2 = 210 + -210 + -61x + 61x + 4x2 + -4x2 Combine like terms: 210 + -210 = 0 -210 + 61x + -4x2 = 0 + -61x + 61x + 4x2 + -4x2 -210 + 61x + -4x2 = -61x + 61x + 4x2 + -4x2 Combine like terms: -61x + 61x = 0 -210 + 61x + -4x2 = 0 + 4x2 + -4x2 -210 + 61x + -4x2 = 4x2 + -4x2 Combine like terms: 4x2 + -4x2 = 0 -210 + 61x + -4x2 = 0 Factor a trinomial. (-10 + x)(21 + -4x) = 0Subproblem 1
Set the factor '(-10 + x)' equal to zero and attempt to solve: Simplifying -10 + x = 0 Solving -10 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '10' to each side of the equation. -10 + 10 + x = 0 + 10 Combine like terms: -10 + 10 = 0 0 + x = 0 + 10 x = 0 + 10 Combine like terms: 0 + 10 = 10 x = 10 Simplifying x = 10Subproblem 2
Set the factor '(21 + -4x)' equal to zero and attempt to solve: Simplifying 21 + -4x = 0 Solving 21 + -4x = 0 Move all terms containing x to the left, all other terms to the right. Add '-21' to each side of the equation. 21 + -21 + -4x = 0 + -21 Combine like terms: 21 + -21 = 0 0 + -4x = 0 + -21 -4x = 0 + -21 Combine like terms: 0 + -21 = -21 -4x = -21 Divide each side by '-4'. x = 5.25 Simplifying x = 5.25Solution
x = {10, 5.25}
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