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Simplifying 7x(x + -3) + 2(x + 3) = 6 + -2x Reorder the terms: 7x(-3 + x) + 2(x + 3) = 6 + -2x (-3 * 7x + x * 7x) + 2(x + 3) = 6 + -2x (-21x + 7x2) + 2(x + 3) = 6 + -2x Reorder the terms: -21x + 7x2 + 2(3 + x) = 6 + -2x -21x + 7x2 + (3 * 2 + x * 2) = 6 + -2x -21x + 7x2 + (6 + 2x) = 6 + -2x Reorder the terms: 6 + -21x + 2x + 7x2 = 6 + -2x Combine like terms: -21x + 2x = -19x 6 + -19x + 7x2 = 6 + -2x Add '-6' to each side of the equation. 6 + -19x + -6 + 7x2 = 6 + -6 + -2x Reorder the terms: 6 + -6 + -19x + 7x2 = 6 + -6 + -2x Combine like terms: 6 + -6 = 0 0 + -19x + 7x2 = 6 + -6 + -2x -19x + 7x2 = 6 + -6 + -2x Combine like terms: 6 + -6 = 0 -19x + 7x2 = 0 + -2x -19x + 7x2 = -2x Solving -19x + 7x2 = -2x Solving for variable 'x'. Reorder the terms: -19x + 2x + 7x2 = -2x + 2x Combine like terms: -19x + 2x = -17x -17x + 7x2 = -2x + 2x Combine like terms: -2x + 2x = 0 -17x + 7x2 = 0 Factor out the Greatest Common Factor (GCF), 'x'. x(-17 + 7x) = 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 '(-17 + 7x)' equal to zero and attempt to solve: Simplifying -17 + 7x = 0 Solving -17 + 7x = 0 Move all terms containing x to the left, all other terms to the right. Add '17' to each side of the equation. -17 + 17 + 7x = 0 + 17 Combine like terms: -17 + 17 = 0 0 + 7x = 0 + 17 7x = 0 + 17 Combine like terms: 0 + 17 = 17 7x = 17 Divide each side by '7'. x = 2.428571429 Simplifying x = 2.428571429Solution
x = {0, 2.428571429}
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