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Simplifying 1000(0.119x2 + -0.162x + 0.055) = 0 Reorder the terms: 1000(0.055 + -0.162x + 0.119x2) = 0 (0.055 * 1000 + -0.162x * 1000 + 0.119x2 * 1000) = 0 (55 + -162x + 119x2) = 0 Solving 55 + -162x + 119x2 = 0 Solving for variable 'x'. Factor a trinomial. (11 + -17x)(5 + -7x) = 0Subproblem 1
Set the factor '(11 + -17x)' equal to zero and attempt to solve: Simplifying 11 + -17x = 0 Solving 11 + -17x = 0 Move all terms containing x to the left, all other terms to the right. Add '-11' to each side of the equation. 11 + -11 + -17x = 0 + -11 Combine like terms: 11 + -11 = 0 0 + -17x = 0 + -11 -17x = 0 + -11 Combine like terms: 0 + -11 = -11 -17x = -11 Divide each side by '-17'. x = 0.6470588235 Simplifying x = 0.6470588235Subproblem 2
Set the factor '(5 + -7x)' equal to zero and attempt to solve: Simplifying 5 + -7x = 0 Solving 5 + -7x = 0 Move all terms containing x to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + -7x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -7x = 0 + -5 -7x = 0 + -5 Combine like terms: 0 + -5 = -5 -7x = -5 Divide each side by '-7'. x = 0.7142857143 Simplifying x = 0.7142857143Solution
x = {0.6470588235, 0.7142857143}
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