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Simplifying (8x2 + x) + -1(x2 + 3x) = 0 Reorder the terms: (x + 8x2) + -1(x2 + 3x) = 0 Remove parenthesis around (x + 8x2) x + 8x2 + -1(x2 + 3x) = 0 Reorder the terms: x + 8x2 + -1(3x + x2) = 0 x + 8x2 + (3x * -1 + x2 * -1) = 0 x + 8x2 + (-3x + -1x2) = 0 Reorder the terms: x + -3x + 8x2 + -1x2 = 0 Combine like terms: x + -3x = -2x -2x + 8x2 + -1x2 = 0 Combine like terms: 8x2 + -1x2 = 7x2 -2x + 7x2 = 0 Solving -2x + 7x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), 'x'. x(-2 + 7x) = 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 '(-2 + 7x)' equal to zero and attempt to solve: Simplifying -2 + 7x = 0 Solving -2 + 7x = 0 Move all terms containing x to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + 7x = 0 + 2 Combine like terms: -2 + 2 = 0 0 + 7x = 0 + 2 7x = 0 + 2 Combine like terms: 0 + 2 = 2 7x = 2 Divide each side by '7'. x = 0.2857142857 Simplifying x = 0.2857142857Solution
x = {0, 0.2857142857}
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