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Simplifying 15x2 + 1x + -2 = 740 Reorder the terms: -2 + 1x + 15x2 = 740 Solving -2 + 1x + 15x2 = 740 Solving for variable 'x'. Reorder the terms: -2 + -740 + 1x + 15x2 = 740 + -740 Combine like terms: -2 + -740 = -742 -742 + 1x + 15x2 = 740 + -740 Combine like terms: 740 + -740 = 0 -742 + 1x + 15x2 = 0 Factor a trinomial. (-106 + -15x)(7 + -1x) = 0Subproblem 1
Set the factor '(-106 + -15x)' equal to zero and attempt to solve: Simplifying -106 + -15x = 0 Solving -106 + -15x = 0 Move all terms containing x to the left, all other terms to the right. Add '106' to each side of the equation. -106 + 106 + -15x = 0 + 106 Combine like terms: -106 + 106 = 0 0 + -15x = 0 + 106 -15x = 0 + 106 Combine like terms: 0 + 106 = 106 -15x = 106 Divide each side by '-15'. x = -7.066666667 Simplifying x = -7.066666667Subproblem 2
Set the factor '(7 + -1x)' equal to zero and attempt to solve: Simplifying 7 + -1x = 0 Solving 7 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + -1x = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -1x = 0 + -7 -1x = 0 + -7 Combine like terms: 0 + -7 = -7 -1x = -7 Divide each side by '-1'. x = 7 Simplifying x = 7Solution
x = {-7.066666667, 7}
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