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Simplifying 10000 + 100x = 10(3x2) Remove parenthesis around (3x2) 10000 + 100x = 10 * 3x2 Multiply 10 * 3 10000 + 100x = 30x2 Solving 10000 + 100x = 30x2 Solving for variable 'x'. Combine like terms: 30x2 + -30x2 = 0 10000 + 100x + -30x2 = 0 Factor out the Greatest Common Factor (GCF), '10'. 10(1000 + 10x + -3x2) = 0 Factor a trinomial. 10((20 + -1x)(50 + 3x)) = 0 Ignore the factor 10.Subproblem 1
Set the factor '(20 + -1x)' equal to zero and attempt to solve: Simplifying 20 + -1x = 0 Solving 20 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-20' to each side of the equation. 20 + -20 + -1x = 0 + -20 Combine like terms: 20 + -20 = 0 0 + -1x = 0 + -20 -1x = 0 + -20 Combine like terms: 0 + -20 = -20 -1x = -20 Divide each side by '-1'. x = 20 Simplifying x = 20Subproblem 2
Set the factor '(50 + 3x)' equal to zero and attempt to solve: Simplifying 50 + 3x = 0 Solving 50 + 3x = 0 Move all terms containing x to the left, all other terms to the right. Add '-50' to each side of the equation. 50 + -50 + 3x = 0 + -50 Combine like terms: 50 + -50 = 0 0 + 3x = 0 + -50 3x = 0 + -50 Combine like terms: 0 + -50 = -50 3x = -50 Divide each side by '3'. x = -16.66666667 Simplifying x = -16.66666667Solution
x = {20, -16.66666667}
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