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Simplifying [9x + -4] * x[734x + 1] = 0 Reorder the terms: [-4 + 9x] * x[734x + 1] = 0 Reorder the terms: [-4 + 9x] * x[1 + 734x] = 0 Reorder the terms for easier multiplication: x[-4 + 9x][1 + 734x] = 0 Multiply [-4 + 9x] * [1 + 734x] x[-4[1 + 734x] + 9x * [1 + 734x]] = 0 x[[1 * -4 + 734x * -4] + 9x * [1 + 734x]] = 0 x[[-4 + -2936x] + 9x * [1 + 734x]] = 0 x[-4 + -2936x + [1 * 9x + 734x * 9x]] = 0 x[-4 + -2936x + [9x + 6606x2]] = 0 Combine like terms: -2936x + 9x = -2927x x[-4 + -2927x + 6606x2] = 0 [-4 * x + -2927x * x + 6606x2 * x] = 0 [-4x + -2927x2 + 6606x3] = 0 Solving -4x + -2927x2 + 6606x3 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), 'x'. x(-4 + -2927x + 6606x2) = 0 Factor a trinomial. x((-1 + -734x)(4 + -9x)) = 0Subproblem 1
Set the factor 'x' equal to zero and attempt to solve: Simplifying x = 0 Solving x = 0 Move all terms containing x to the left, all other terms to the right. Simplifying x = 0Subproblem 2
Set the factor '(-1 + -734x)' equal to zero and attempt to solve: Simplifying -1 + -734x = 0 Solving -1 + -734x = 0 Move all terms containing x to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + -734x = 0 + 1 Combine like terms: -1 + 1 = 0 0 + -734x = 0 + 1 -734x = 0 + 1 Combine like terms: 0 + 1 = 1 -734x = 1 Divide each side by '-734'. x = -0.00136239782 Simplifying x = -0.00136239782Subproblem 3
Set the factor '(4 + -9x)' equal to zero and attempt to solve: Simplifying 4 + -9x = 0 Solving 4 + -9x = 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 + -9x = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -9x = 0 + -4 -9x = 0 + -4 Combine like terms: 0 + -4 = -4 -9x = -4 Divide each side by '-9'. x = 0.4444444444 Simplifying x = 0.4444444444Solution
x = {0, -0.00136239782, 0.4444444444}
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