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Simplifying (2x + 5x)(3x + -8) = 2x Combine like terms: 2x + 5x = 7x (7x)(3x + -8) = 2x Remove parenthesis around (7x) 7x(3x + -8) = 2x Reorder the terms: 7x(-8 + 3x) = 2x (-8 * 7x + 3x * 7x) = 2x (-56x + 21x2) = 2x Solving -56x + 21x2 = 2x Solving for variable 'x'. Reorder the terms: -56x + -2x + 21x2 = 2x + -2x Combine like terms: -56x + -2x = -58x -58x + 21x2 = 2x + -2x Combine like terms: 2x + -2x = 0 -58x + 21x2 = 0 Factor out the Greatest Common Factor (GCF), 'x'. x(-58 + 21x) = 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 '(-58 + 21x)' equal to zero and attempt to solve: Simplifying -58 + 21x = 0 Solving -58 + 21x = 0 Move all terms containing x to the left, all other terms to the right. Add '58' to each side of the equation. -58 + 58 + 21x = 0 + 58 Combine like terms: -58 + 58 = 0 0 + 21x = 0 + 58 21x = 0 + 58 Combine like terms: 0 + 58 = 58 21x = 58 Divide each side by '21'. x = 2.761904762 Simplifying x = 2.761904762Solution
x = {0, 2.761904762}
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