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Simplifying -1x2 + 4[2x + -7(x2 + 6x)] + -25x2 = 0 Reorder the terms: -1x2 + 4[2x + -7(6x + x2)] + -25x2 = 0 -1x2 + 4[2x + (6x * -7 + x2 * -7)] + -25x2 = 0 -1x2 + 4[2x + (-42x + -7x2)] + -25x2 = 0 Combine like terms: 2x + -42x = -40x -1x2 + 4[-40x + -7x2] + -25x2 = 0 -1x2 + [-40x * 4 + -7x2 * 4] + -25x2 = 0 -1x2 + [-160x + -28x2] + -25x2 = 0 Reorder the terms: -160x + -1x2 + -28x2 + -25x2 = 0 Combine like terms: -1x2 + -28x2 = -29x2 -160x + -29x2 + -25x2 = 0 Combine like terms: -29x2 + -25x2 = -54x2 -160x + -54x2 = 0 Solving -160x + -54x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '-2x'. -2x(80 + 27x) = 0 Ignore the factor -2.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 '(80 + 27x)' equal to zero and attempt to solve: Simplifying 80 + 27x = 0 Solving 80 + 27x = 0 Move all terms containing x to the left, all other terms to the right. Add '-80' to each side of the equation. 80 + -80 + 27x = 0 + -80 Combine like terms: 80 + -80 = 0 0 + 27x = 0 + -80 27x = 0 + -80 Combine like terms: 0 + -80 = -80 27x = -80 Divide each side by '27'. x = -2.962962963 Simplifying x = -2.962962963Solution
x = {0, -2.962962963}
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