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Simplifying 4x2 = 19x + 63 Reorder the terms: 4x2 = 63 + 19x Solving 4x2 = 63 + 19x Solving for variable 'x'. Reorder the terms: -63 + -19x + 4x2 = 63 + 19x + -63 + -19x Reorder the terms: -63 + -19x + 4x2 = 63 + -63 + 19x + -19x Combine like terms: 63 + -63 = 0 -63 + -19x + 4x2 = 0 + 19x + -19x -63 + -19x + 4x2 = 19x + -19x Combine like terms: 19x + -19x = 0 -63 + -19x + 4x2 = 0 Factor a trinomial. (-9 + -4x)(7 + -1x) = 0Subproblem 1
Set the factor '(-9 + -4x)' equal to zero and attempt to solve: Simplifying -9 + -4x = 0 Solving -9 + -4x = 0 Move all terms containing x to the left, all other terms to the right. Add '9' to each side of the equation. -9 + 9 + -4x = 0 + 9 Combine like terms: -9 + 9 = 0 0 + -4x = 0 + 9 -4x = 0 + 9 Combine like terms: 0 + 9 = 9 -4x = 9 Divide each side by '-4'. x = -2.25 Simplifying x = -2.25Subproblem 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 = {-2.25, 7}
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