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Simplifying 4x2 + 6x + 35 = 16x2 + 7x Reorder the terms: 35 + 6x + 4x2 = 16x2 + 7x Reorder the terms: 35 + 6x + 4x2 = 7x + 16x2 Solving 35 + 6x + 4x2 = 7x + 16x2 Solving for variable 'x'. Reorder the terms: 35 + 6x + -7x + 4x2 + -16x2 = 7x + 16x2 + -7x + -16x2 Combine like terms: 6x + -7x = -1x 35 + -1x + 4x2 + -16x2 = 7x + 16x2 + -7x + -16x2 Combine like terms: 4x2 + -16x2 = -12x2 35 + -1x + -12x2 = 7x + 16x2 + -7x + -16x2 Reorder the terms: 35 + -1x + -12x2 = 7x + -7x + 16x2 + -16x2 Combine like terms: 7x + -7x = 0 35 + -1x + -12x2 = 0 + 16x2 + -16x2 35 + -1x + -12x2 = 16x2 + -16x2 Combine like terms: 16x2 + -16x2 = 0 35 + -1x + -12x2 = 0 Factor a trinomial. (5 + -3x)(7 + 4x) = 0Subproblem 1
Set the factor '(5 + -3x)' equal to zero and attempt to solve: Simplifying 5 + -3x = 0 Solving 5 + -3x = 0 Move all terms containing x to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + -3x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -3x = 0 + -5 -3x = 0 + -5 Combine like terms: 0 + -5 = -5 -3x = -5 Divide each side by '-3'. x = 1.666666667 Simplifying x = 1.666666667Subproblem 2
Set the factor '(7 + 4x)' equal to zero and attempt to solve: Simplifying 7 + 4x = 0 Solving 7 + 4x = 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 + 4x = 0 + -7 Combine like terms: 7 + -7 = 0 0 + 4x = 0 + -7 4x = 0 + -7 Combine like terms: 0 + -7 = -7 4x = -7 Divide each side by '4'. x = -1.75 Simplifying x = -1.75Solution
x = {1.666666667, -1.75}
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