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Simplifying 3x[5x + -1(9x + 3) + -11] = 0 Reorder the terms: 3x[5x + -1(3 + 9x) + -11] = 0 3x[5x + (3 * -1 + 9x * -1) + -11] = 0 3x[5x + (-3 + -9x) + -11] = 0 Reorder the terms: 3x[-3 + -11 + 5x + -9x] = 0 Combine like terms: -3 + -11 = -14 3x[-14 + 5x + -9x] = 0 Combine like terms: 5x + -9x = -4x 3x[-14 + -4x] = 0 [-14 * 3x + -4x * 3x] = 0 [-42x + -12x2] = 0 Solving -42x + -12x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '-6x'. -6x(7 + 2x) = 0 Ignore the factor -6.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 '(7 + 2x)' equal to zero and attempt to solve: Simplifying 7 + 2x = 0 Solving 7 + 2x = 0 Move all terms containing x to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + 2x = 0 + -7 Combine like terms: 7 + -7 = 0 0 + 2x = 0 + -7 2x = 0 + -7 Combine like terms: 0 + -7 = -7 2x = -7 Divide each side by '2'. x = -3.5 Simplifying x = -3.5Solution
x = {0, -3.5}
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