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Simplifying 4(3x2 + -7x + 4) = 1 Reorder the terms: 4(4 + -7x + 3x2) = 1 (4 * 4 + -7x * 4 + 3x2 * 4) = 1 (16 + -28x + 12x2) = 1 Solving 16 + -28x + 12x2 = 1 Solving for variable 'x'. Reorder the terms: 16 + -1 + -28x + 12x2 = 1 + -1 Combine like terms: 16 + -1 = 15 15 + -28x + 12x2 = 1 + -1 Combine like terms: 1 + -1 = 0 15 + -28x + 12x2 = 0 Factor a trinomial. (5 + -6x)(3 + -2x) = 0Subproblem 1
Set the factor '(5 + -6x)' equal to zero and attempt to solve: Simplifying 5 + -6x = 0 Solving 5 + -6x = 0 Move all terms containing x to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + -6x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -6x = 0 + -5 -6x = 0 + -5 Combine like terms: 0 + -5 = -5 -6x = -5 Divide each side by '-6'. x = 0.8333333333 Simplifying x = 0.8333333333Subproblem 2
Set the factor '(3 + -2x)' equal to zero and attempt to solve: Simplifying 3 + -2x = 0 Solving 3 + -2x = 0 Move all terms containing x to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -2x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -2x = 0 + -3 -2x = 0 + -3 Combine like terms: 0 + -3 = -3 -2x = -3 Divide each side by '-2'. x = 1.5 Simplifying x = 1.5Solution
x = {0.8333333333, 1.5}
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