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Simplifying X2 + 10x + -19 = x2 + 6x + -7.5 Reorder the terms: -19 + X2 + 10x = x2 + 6x + -7.5 Reorder the terms: -19 + X2 + 10x = -7.5 + 6x + x2 Solving -19 + X2 + 10x = -7.5 + 6x + x2 Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '19' to each side of the equation. -19 + X2 + 19 + 10x = -7.5 + 6x + 19 + x2 Reorder the terms: -19 + 19 + X2 + 10x = -7.5 + 6x + 19 + x2 Combine like terms: -19 + 19 = 0 0 + X2 + 10x = -7.5 + 6x + 19 + x2 X2 + 10x = -7.5 + 6x + 19 + x2 Reorder the terms: X2 + 10x = -7.5 + 19 + 6x + x2 Combine like terms: -7.5 + 19 = 11.5 X2 + 10x = 11.5 + 6x + x2 Add '-10x' to each side of the equation. X2 + 10x + -10x = 11.5 + 6x + -10x + x2 Combine like terms: 10x + -10x = 0 X2 + 0 = 11.5 + 6x + -10x + x2 X2 = 11.5 + 6x + -10x + x2 Combine like terms: 6x + -10x = -4x X2 = 11.5 + -4x + x2 Simplifying X2 = 11.5 + -4x + x2 Reorder the terms: -11.5 + X2 + 4x + -1x2 = 11.5 + -4x + x2 + -11.5 + 4x + -1x2 Reorder the terms: -11.5 + X2 + 4x + -1x2 = 11.5 + -11.5 + -4x + 4x + x2 + -1x2 Combine like terms: 11.5 + -11.5 = 0.0 -11.5 + X2 + 4x + -1x2 = 0.0 + -4x + 4x + x2 + -1x2 -11.5 + X2 + 4x + -1x2 = -4x + 4x + x2 + -1x2 Combine like terms: -4x + 4x = 0 -11.5 + X2 + 4x + -1x2 = 0 + x2 + -1x2 -11.5 + X2 + 4x + -1x2 = x2 + -1x2 Combine like terms: x2 + -1x2 = 0 -11.5 + X2 + 4x + -1x2 = 0 The solution to this equation could not be determined.
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