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Simplifying x = 6x2 + -48x + 100 Reorder the terms: x = 100 + -48x + 6x2 Solving x = 100 + -48x + 6x2 Solving for variable 'x'. Reorder the terms: -100 + x + 48x + -6x2 = 100 + -48x + 6x2 + -100 + 48x + -6x2 Combine like terms: x + 48x = 49x -100 + 49x + -6x2 = 100 + -48x + 6x2 + -100 + 48x + -6x2 Reorder the terms: -100 + 49x + -6x2 = 100 + -100 + -48x + 48x + 6x2 + -6x2 Combine like terms: 100 + -100 = 0 -100 + 49x + -6x2 = 0 + -48x + 48x + 6x2 + -6x2 -100 + 49x + -6x2 = -48x + 48x + 6x2 + -6x2 Combine like terms: -48x + 48x = 0 -100 + 49x + -6x2 = 0 + 6x2 + -6x2 -100 + 49x + -6x2 = 6x2 + -6x2 Combine like terms: 6x2 + -6x2 = 0 -100 + 49x + -6x2 = 0 Factor a trinomial. (-25 + 6x)(4 + -1x) = 0Subproblem 1
Set the factor '(-25 + 6x)' equal to zero and attempt to solve: Simplifying -25 + 6x = 0 Solving -25 + 6x = 0 Move all terms containing x to the left, all other terms to the right. Add '25' to each side of the equation. -25 + 25 + 6x = 0 + 25 Combine like terms: -25 + 25 = 0 0 + 6x = 0 + 25 6x = 0 + 25 Combine like terms: 0 + 25 = 25 6x = 25 Divide each side by '6'. x = 4.166666667 Simplifying x = 4.166666667Subproblem 2
Set the factor '(4 + -1x)' equal to zero and attempt to solve: Simplifying 4 + -1x = 0 Solving 4 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + -1x = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -1x = 0 + -4 -1x = 0 + -4 Combine like terms: 0 + -4 = -4 -1x = -4 Divide each side by '-1'. x = 4 Simplifying x = 4Solution
x = {4.166666667, 4}
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