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Simplifying 3x(2x + -5) + -1x(x + 6) = 0 Reorder the terms: 3x(-5 + 2x) + -1x(x + 6) = 0 (-5 * 3x + 2x * 3x) + -1x(x + 6) = 0 (-15x + 6x2) + -1x(x + 6) = 0 Reorder the terms: -15x + 6x2 + -1x(6 + x) = 0 -15x + 6x2 + (6 * -1x + x * -1x) = 0 -15x + 6x2 + (-6x + -1x2) = 0 Reorder the terms: -15x + -6x + 6x2 + -1x2 = 0 Combine like terms: -15x + -6x = -21x -21x + 6x2 + -1x2 = 0 Combine like terms: 6x2 + -1x2 = 5x2 -21x + 5x2 = 0 Solving -21x + 5x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), 'x'. x(-21 + 5x) = 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 '(-21 + 5x)' equal to zero and attempt to solve: Simplifying -21 + 5x = 0 Solving -21 + 5x = 0 Move all terms containing x to the left, all other terms to the right. Add '21' to each side of the equation. -21 + 21 + 5x = 0 + 21 Combine like terms: -21 + 21 = 0 0 + 5x = 0 + 21 5x = 0 + 21 Combine like terms: 0 + 21 = 21 5x = 21 Divide each side by '5'. x = 4.2 Simplifying x = 4.2Solution
x = {0, 4.2}
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