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Simplifying 3x2 + -100x + 700 = 0 Reorder the terms: 700 + -100x + 3x2 = 0 Solving 700 + -100x + 3x2 = 0 Solving for variable 'x'. Factor a trinomial. (10 + -1x)(70 + -3x) = 0Subproblem 1
Set the factor '(10 + -1x)' equal to zero and attempt to solve: Simplifying 10 + -1x = 0 Solving 10 + -1x = 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 + -1x = 0 + -10 Combine like terms: 10 + -10 = 0 0 + -1x = 0 + -10 -1x = 0 + -10 Combine like terms: 0 + -10 = -10 -1x = -10 Divide each side by '-1'. x = 10 Simplifying x = 10Subproblem 2
Set the factor '(70 + -3x)' equal to zero and attempt to solve: Simplifying 70 + -3x = 0 Solving 70 + -3x = 0 Move all terms containing x to the left, all other terms to the right. Add '-70' to each side of the equation. 70 + -70 + -3x = 0 + -70 Combine like terms: 70 + -70 = 0 0 + -3x = 0 + -70 -3x = 0 + -70 Combine like terms: 0 + -70 = -70 -3x = -70 Divide each side by '-3'. x = 23.33333333 Simplifying x = 23.33333333Solution
x = {10, 23.33333333}
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