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Simplifying (2x + -3)(7x + -2) = 6 Reorder the terms: (-3 + 2x)(7x + -2) = 6 Reorder the terms: (-3 + 2x)(-2 + 7x) = 6 Multiply (-3 + 2x) * (-2 + 7x) (-3(-2 + 7x) + 2x * (-2 + 7x)) = 6 ((-2 * -3 + 7x * -3) + 2x * (-2 + 7x)) = 6 ((6 + -21x) + 2x * (-2 + 7x)) = 6 (6 + -21x + (-2 * 2x + 7x * 2x)) = 6 (6 + -21x + (-4x + 14x2)) = 6 Combine like terms: -21x + -4x = -25x (6 + -25x + 14x2) = 6 Add '-6' to each side of the equation. 6 + -25x + -6 + 14x2 = 6 + -6 Reorder the terms: 6 + -6 + -25x + 14x2 = 6 + -6 Combine like terms: 6 + -6 = 0 0 + -25x + 14x2 = 6 + -6 -25x + 14x2 = 6 + -6 Combine like terms: 6 + -6 = 0 -25x + 14x2 = 0 Solving -25x + 14x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), 'x'. x(-25 + 14x) = 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 '(-25 + 14x)' equal to zero and attempt to solve: Simplifying -25 + 14x = 0 Solving -25 + 14x = 0 Move all terms containing x to the left, all other terms to the right. Add '25' to each side of the equation. -25 + 25 + 14x = 0 + 25 Combine like terms: -25 + 25 = 0 0 + 14x = 0 + 25 14x = 0 + 25 Combine like terms: 0 + 25 = 25 14x = 25 Divide each side by '14'. x = 1.785714286 Simplifying x = 1.785714286Solution
x = {0, 1.785714286}
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