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Simplifying 0 = 7x2 + -24x + 20 Reorder the terms: 0 = 20 + -24x + 7x2 Solving 0 = 20 + -24x + 7x2 Solving for variable 'x'. Combine like terms: 0 + -20 = -20 -20 + 24x + -7x2 = 20 + -24x + 7x2 + -20 + 24x + -7x2 Reorder the terms: -20 + 24x + -7x2 = 20 + -20 + -24x + 24x + 7x2 + -7x2 Combine like terms: 20 + -20 = 0 -20 + 24x + -7x2 = 0 + -24x + 24x + 7x2 + -7x2 -20 + 24x + -7x2 = -24x + 24x + 7x2 + -7x2 Combine like terms: -24x + 24x = 0 -20 + 24x + -7x2 = 0 + 7x2 + -7x2 -20 + 24x + -7x2 = 7x2 + -7x2 Combine like terms: 7x2 + -7x2 = 0 -20 + 24x + -7x2 = 0 Factor a trinomial. (-2 + x)(10 + -7x) = 0Subproblem 1
Set the factor '(-2 + x)' equal to zero and attempt to solve: Simplifying -2 + x = 0 Solving -2 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + x = 0 + 2 Combine like terms: -2 + 2 = 0 0 + x = 0 + 2 x = 0 + 2 Combine like terms: 0 + 2 = 2 x = 2 Simplifying x = 2Subproblem 2
Set the factor '(10 + -7x)' equal to zero and attempt to solve: Simplifying 10 + -7x = 0 Solving 10 + -7x = 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 + -7x = 0 + -10 Combine like terms: 10 + -10 = 0 0 + -7x = 0 + -10 -7x = 0 + -10 Combine like terms: 0 + -10 = -10 -7x = -10 Divide each side by '-7'. x = 1.428571429 Simplifying x = 1.428571429Solution
x = {2, 1.428571429}
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