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Simplifying 28(x2 + (-1)) = 33x 28(x2 + -1) = 33x Reorder the terms: 28(-1 + x2) = 33x (-1 * 28 + x2 * 28) = 33x (-28 + 28x2) = 33x Solving -28 + 28x2 = 33x Solving for variable 'x'. Reorder the terms: -28 + -33x + 28x2 = 33x + -33x Combine like terms: 33x + -33x = 0 -28 + -33x + 28x2 = 0 Factor a trinomial. (-4 + -7x)(7 + -4x) = 0Subproblem 1
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 = -0.5714285714Subproblem 2
Set the factor '(7 + -4x)' equal to zero and attempt to solve: Simplifying 7 + -4x = 0 Solving 7 + -4x = 0 Move all terms containing x to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + -4x = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -4x = 0 + -7 -4x = 0 + -7 Combine like terms: 0 + -7 = -7 -4x = -7 Divide each side by '-4'. x = 1.75 Simplifying x = 1.75Solution
x = {-0.5714285714, 1.75}
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