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Simplifying Xsquared + -5x + -6 = 0.5(x + -4) * squared + 2 Reorder the terms: -6 + adeqrsuX + -5x = 0.5(x + -4) * squared + 2 Reorder the terms: -6 + adeqrsuX + -5x = 0.5(-4 + x) * squared + 2 Reorder the terms for easier multiplication: -6 + adeqrsuX + -5x = 0.5adeqrsu(-4 + x) + 2 -6 + adeqrsuX + -5x = (-4 * 0.5adeqrsu + x * 0.5adeqrsu) + 2 -6 + adeqrsuX + -5x = (-2adeqrsu + 0.5adeqrsux) + 2 Reorder the terms: -6 + adeqrsuX + -5x = 2 + -2adeqrsu + 0.5adeqrsux Solving -6 + adeqrsuX + -5x = 2 + -2adeqrsu + 0.5adeqrsux Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '2adeqrsu' to each side of the equation. -6 + adeqrsuX + 2adeqrsu + -5x = 2 + -2adeqrsu + 2adeqrsu + 0.5adeqrsux Reorder the terms: -6 + 2adeqrsu + adeqrsuX + -5x = 2 + -2adeqrsu + 2adeqrsu + 0.5adeqrsux Combine like terms: -2adeqrsu + 2adeqrsu = 0 -6 + 2adeqrsu + adeqrsuX + -5x = 2 + 0 + 0.5adeqrsux -6 + 2adeqrsu + adeqrsuX + -5x = 2 + 0.5adeqrsux Add '-0.5adeqrsux' to each side of the equation. -6 + 2adeqrsu + adeqrsuX + -0.5adeqrsux + -5x = 2 + 0.5adeqrsux + -0.5adeqrsux Combine like terms: 0.5adeqrsux + -0.5adeqrsux = 0.0 -6 + 2adeqrsu + adeqrsuX + -0.5adeqrsux + -5x = 2 + 0.0 -6 + 2adeqrsu + adeqrsuX + -0.5adeqrsux + -5x = 2 Add '6' to each side of the equation. -6 + 2adeqrsu + adeqrsuX + -0.5adeqrsux + 6 + -5x = 2 + 6 Reorder the terms: -6 + 6 + 2adeqrsu + adeqrsuX + -0.5adeqrsux + -5x = 2 + 6 Combine like terms: -6 + 6 = 0 0 + 2adeqrsu + adeqrsuX + -0.5adeqrsux + -5x = 2 + 6 2adeqrsu + adeqrsuX + -0.5adeqrsux + -5x = 2 + 6 Combine like terms: 2 + 6 = 8 2adeqrsu + adeqrsuX + -0.5adeqrsux + -5x = 8 Add '5x' to each side of the equation. 2adeqrsu + adeqrsuX + -0.5adeqrsux + -5x + 5x = 8 + 5x Combine like terms: -5x + 5x = 0 2adeqrsu + adeqrsuX + -0.5adeqrsux + 0 = 8 + 5x 2adeqrsu + adeqrsuX + -0.5adeqrsux = 8 + 5x Reorder the terms: -8 + 2adeqrsu + adeqrsuX + -0.5adeqrsux + -5x = 8 + 5x + -8 + -5x Reorder the terms: -8 + 2adeqrsu + adeqrsuX + -0.5adeqrsux + -5x = 8 + -8 + 5x + -5x Combine like terms: 8 + -8 = 0 -8 + 2adeqrsu + adeqrsuX + -0.5adeqrsux + -5x = 0 + 5x + -5x -8 + 2adeqrsu + adeqrsuX + -0.5adeqrsux + -5x = 5x + -5x Combine like terms: 5x + -5x = 0 -8 + 2adeqrsu + adeqrsuX + -0.5adeqrsux + -5x = 0 The solution to this equation could not be determined.
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