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Simplifying 3x + -7 + 9x2 + -3 = 100 Reorder the terms: -7 + -3 + 3x + 9x2 = 100 Combine like terms: -7 + -3 = -10 -10 + 3x + 9x2 = 100 Solving -10 + 3x + 9x2 = 100 Solving for variable 'x'. Reorder the terms: -10 + -100 + 3x + 9x2 = 100 + -100 Combine like terms: -10 + -100 = -110 -110 + 3x + 9x2 = 100 + -100 Combine like terms: 100 + -100 = 0 -110 + 3x + 9x2 = 0 Factor a trinomial. (-11 + -3x)(10 + -3x) = 0Subproblem 1
Set the factor '(-11 + -3x)' equal to zero and attempt to solve: Simplifying -11 + -3x = 0 Solving -11 + -3x = 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 + -3x = 0 + 11 Combine like terms: -11 + 11 = 0 0 + -3x = 0 + 11 -3x = 0 + 11 Combine like terms: 0 + 11 = 11 -3x = 11 Divide each side by '-3'. x = -3.666666667 Simplifying x = -3.666666667Subproblem 2
Set the factor '(10 + -3x)' equal to zero and attempt to solve: Simplifying 10 + -3x = 0 Solving 10 + -3x = 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 + -3x = 0 + -10 Combine like terms: 10 + -10 = 0 0 + -3x = 0 + -10 -3x = 0 + -10 Combine like terms: 0 + -10 = -10 -3x = -10 Divide each side by '-3'. x = 3.333333333 Simplifying x = 3.333333333Solution
x = {-3.666666667, 3.333333333}
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