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Simplifying -4x(x + 10) + -6 = 3(x + -2) Reorder the terms: -4x(10 + x) + -6 = 3(x + -2) (10 * -4x + x * -4x) + -6 = 3(x + -2) (-40x + -4x2) + -6 = 3(x + -2) Reorder the terms: -6 + -40x + -4x2 = 3(x + -2) Reorder the terms: -6 + -40x + -4x2 = 3(-2 + x) -6 + -40x + -4x2 = (-2 * 3 + x * 3) -6 + -40x + -4x2 = (-6 + 3x) Add '6' to each side of the equation. -6 + -40x + 6 + -4x2 = -6 + 6 + 3x Reorder the terms: -6 + 6 + -40x + -4x2 = -6 + 6 + 3x Combine like terms: -6 + 6 = 0 0 + -40x + -4x2 = -6 + 6 + 3x -40x + -4x2 = -6 + 6 + 3x Combine like terms: -6 + 6 = 0 -40x + -4x2 = 0 + 3x -40x + -4x2 = 3x Solving -40x + -4x2 = 3x Solving for variable 'x'. Reorder the terms: -40x + -3x + -4x2 = 3x + -3x Combine like terms: -40x + -3x = -43x -43x + -4x2 = 3x + -3x Combine like terms: 3x + -3x = 0 -43x + -4x2 = 0 Factor out the Greatest Common Factor (GCF), '-1x'. -1x(43 + 4x) = 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 '(43 + 4x)' equal to zero and attempt to solve: Simplifying 43 + 4x = 0 Solving 43 + 4x = 0 Move all terms containing x to the left, all other terms to the right. Add '-43' to each side of the equation. 43 + -43 + 4x = 0 + -43 Combine like terms: 43 + -43 = 0 0 + 4x = 0 + -43 4x = 0 + -43 Combine like terms: 0 + -43 = -43 4x = -43 Divide each side by '4'. x = -10.75 Simplifying x = -10.75Solution
x = {0, -10.75}
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