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Simplifying (-1x + 26)(x2 + -10x + 16) = 28(x2 + -10x + 16) Reorder the terms: (26 + -1x)(x2 + -10x + 16) = 28(x2 + -10x + 16) Reorder the terms: (26 + -1x)(16 + -10x + x2) = 28(x2 + -10x + 16) Multiply (26 + -1x) * (16 + -10x + x2) (26(16 + -10x + x2) + -1x * (16 + -10x + x2)) = 28(x2 + -10x + 16) ((16 * 26 + -10x * 26 + x2 * 26) + -1x * (16 + -10x + x2)) = 28(x2 + -10x + 16) ((416 + -260x + 26x2) + -1x * (16 + -10x + x2)) = 28(x2 + -10x + 16) (416 + -260x + 26x2 + (16 * -1x + -10x * -1x + x2 * -1x)) = 28(x2 + -10x + 16) (416 + -260x + 26x2 + (-16x + 10x2 + -1x3)) = 28(x2 + -10x + 16) Reorder the terms: (416 + -260x + -16x + 26x2 + 10x2 + -1x3) = 28(x2 + -10x + 16) Combine like terms: -260x + -16x = -276x (416 + -276x + 26x2 + 10x2 + -1x3) = 28(x2 + -10x + 16) Combine like terms: 26x2 + 10x2 = 36x2 (416 + -276x + 36x2 + -1x3) = 28(x2 + -10x + 16) Reorder the terms: 416 + -276x + 36x2 + -1x3 = 28(16 + -10x + x2) 416 + -276x + 36x2 + -1x3 = (16 * 28 + -10x * 28 + x2 * 28) 416 + -276x + 36x2 + -1x3 = (448 + -280x + 28x2) Solving 416 + -276x + 36x2 + -1x3 = 448 + -280x + 28x2 Solving for variable 'x'. Reorder the terms: 416 + -448 + -276x + 280x + 36x2 + -28x2 + -1x3 = 448 + -280x + 28x2 + -448 + 280x + -28x2 Combine like terms: 416 + -448 = -32 -32 + -276x + 280x + 36x2 + -28x2 + -1x3 = 448 + -280x + 28x2 + -448 + 280x + -28x2 Combine like terms: -276x + 280x = 4x -32 + 4x + 36x2 + -28x2 + -1x3 = 448 + -280x + 28x2 + -448 + 280x + -28x2 Combine like terms: 36x2 + -28x2 = 8x2 -32 + 4x + 8x2 + -1x3 = 448 + -280x + 28x2 + -448 + 280x + -28x2 Reorder the terms: -32 + 4x + 8x2 + -1x3 = 448 + -448 + -280x + 280x + 28x2 + -28x2 Combine like terms: 448 + -448 = 0 -32 + 4x + 8x2 + -1x3 = 0 + -280x + 280x + 28x2 + -28x2 -32 + 4x + 8x2 + -1x3 = -280x + 280x + 28x2 + -28x2 Combine like terms: -280x + 280x = 0 -32 + 4x + 8x2 + -1x3 = 0 + 28x2 + -28x2 -32 + 4x + 8x2 + -1x3 = 28x2 + -28x2 Combine like terms: 28x2 + -28x2 = 0 -32 + 4x + 8x2 + -1x3 = 0 The solution to this equation could not be determined.
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