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Simplifying (10 + -3x)(7x + -4) = 0 Reorder the terms: (10 + -3x)(-4 + 7x) = 0 Multiply (10 + -3x) * (-4 + 7x) (10(-4 + 7x) + -3x * (-4 + 7x)) = 0 ((-4 * 10 + 7x * 10) + -3x * (-4 + 7x)) = 0 ((-40 + 70x) + -3x * (-4 + 7x)) = 0 (-40 + 70x + (-4 * -3x + 7x * -3x)) = 0 (-40 + 70x + (12x + -21x2)) = 0 Combine like terms: 70x + 12x = 82x (-40 + 82x + -21x2) = 0 Solving -40 + 82x + -21x2 = 0 Solving for variable 'x'. Factor a trinomial. (-10 + 3x)(4 + -7x) = 0Subproblem 1
Set the factor '(-10 + 3x)' equal to zero and attempt to solve: Simplifying -10 + 3x = 0 Solving -10 + 3x = 0 Move all terms containing x to the left, all other terms to the right. Add '10' to each side of the equation. -10 + 10 + 3x = 0 + 10 Combine like terms: -10 + 10 = 0 0 + 3x = 0 + 10 3x = 0 + 10 Combine like terms: 0 + 10 = 10 3x = 10 Divide each side by '3'. x = 3.333333333 Simplifying x = 3.333333333Subproblem 2
Set the factor '(4 + -7x)' equal to zero and attempt to solve: Simplifying 4 + -7x = 0 Solving 4 + -7x = 0 Move all terms containing x to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + -7x = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -7x = 0 + -4 -7x = 0 + -4 Combine like terms: 0 + -4 = -4 -7x = -4 Divide each side by '-7'. x = 0.5714285714 Simplifying x = 0.5714285714Solution
x = {3.333333333, 0.5714285714}
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