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Simplifying 4x2 + -9 = (px + t)(px + -1t) Reorder the terms: -9 + 4x2 = (px + t)(px + -1t) Multiply (px + t) * (px + -1t) -9 + 4x2 = (px(px + -1t) + t(px + -1t)) -9 + 4x2 = ((px * px + -1t * px) + t(px + -1t)) Reorder the terms: -9 + 4x2 = ((-1ptx + p2x2) + t(px + -1t)) -9 + 4x2 = ((-1ptx + p2x2) + t(px + -1t)) -9 + 4x2 = (-1ptx + p2x2 + (px * t + -1t * t)) -9 + 4x2 = (-1ptx + p2x2 + (ptx + -1t2)) Reorder the terms: -9 + 4x2 = (-1ptx + ptx + p2x2 + -1t2) Combine like terms: -1ptx + ptx = 0 -9 + 4x2 = (0 + p2x2 + -1t2) -9 + 4x2 = (p2x2 + -1t2) Solving -9 + 4x2 = p2x2 + -1t2 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1p2x2' to each side of the equation. -9 + -1p2x2 + 4x2 = p2x2 + -1p2x2 + -1t2 Combine like terms: p2x2 + -1p2x2 = 0 -9 + -1p2x2 + 4x2 = 0 + -1t2 -9 + -1p2x2 + 4x2 = -1t2 Add '9' to each side of the equation. -9 + -1p2x2 + 9 + 4x2 = 9 + -1t2 Reorder the terms: -9 + 9 + -1p2x2 + 4x2 = 9 + -1t2 Combine like terms: -9 + 9 = 0 0 + -1p2x2 + 4x2 = 9 + -1t2 -1p2x2 + 4x2 = 9 + -1t2 Reorder the terms: -9 + -1p2x2 + t2 + 4x2 = 9 + -1t2 + -9 + t2 Reorder the terms: -9 + -1p2x2 + t2 + 4x2 = 9 + -9 + -1t2 + t2 Combine like terms: 9 + -9 = 0 -9 + -1p2x2 + t2 + 4x2 = 0 + -1t2 + t2 -9 + -1p2x2 + t2 + 4x2 = -1t2 + t2 Combine like terms: -1t2 + t2 = 0 -9 + -1p2x2 + t2 + 4x2 = 0 The solution to this equation could not be determined.
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