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Simplifying -1x(9x + 40) = x(-2 + 3) Reorder the terms: -1x(40 + 9x) = x(-2 + 3) (40 * -1x + 9x * -1x) = x(-2 + 3) (-40x + -9x2) = x(-2 + 3) Combine like terms: -2 + 3 = 1 -40x + -9x2 = x(1) Reorder the terms for easier multiplication: -40x + -9x2 = 1x Solving -40x + -9x2 = 1x Solving for variable 'x'. Reorder the terms: -40x + -1x + -9x2 = 1x + -1x Combine like terms: -40x + -1x = -41x -41x + -9x2 = 1x + -1x Combine like terms: 1x + -1x = 0 -41x + -9x2 = 0 Factor out the Greatest Common Factor (GCF), '-1x'. -1x(41 + 9x) = 0 Ignore the factor -1.Subproblem 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 '(41 + 9x)' equal to zero and attempt to solve: Simplifying 41 + 9x = 0 Solving 41 + 9x = 0 Move all terms containing x to the left, all other terms to the right. Add '-41' to each side of the equation. 41 + -41 + 9x = 0 + -41 Combine like terms: 41 + -41 = 0 0 + 9x = 0 + -41 9x = 0 + -41 Combine like terms: 0 + -41 = -41 9x = -41 Divide each side by '9'. x = -4.555555556 Simplifying x = -4.555555556Solution
x = {0, -4.555555556}
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