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Simplifying -3x2 + 4x + -9 = 4x + -7x2 Reorder the terms: -9 + 4x + -3x2 = 4x + -7x2 Add '-4x' to each side of the equation. -9 + 4x + -4x + -3x2 = 4x + -4x + -7x2 Combine like terms: 4x + -4x = 0 -9 + 0 + -3x2 = 4x + -4x + -7x2 -9 + -3x2 = 4x + -4x + -7x2 Combine like terms: 4x + -4x = 0 -9 + -3x2 = 0 + -7x2 -9 + -3x2 = -7x2 Solving -9 + -3x2 = -7x2 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '7x2' to each side of the equation. -9 + -3x2 + 7x2 = -7x2 + 7x2 Combine like terms: -3x2 + 7x2 = 4x2 -9 + 4x2 = -7x2 + 7x2 Combine like terms: -7x2 + 7x2 = 0 -9 + 4x2 = 0 Add '9' to each side of the equation. -9 + 9 + 4x2 = 0 + 9 Combine like terms: -9 + 9 = 0 0 + 4x2 = 0 + 9 4x2 = 0 + 9 Combine like terms: 0 + 9 = 9 4x2 = 9 Divide each side by '4'. x2 = 2.25 Simplifying x2 = 2.25 Take the square root of each side: x = {-1.5, 1.5}
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