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Simplifying p(a + 1) = 7x2 + -4 Reorder the terms: p(1 + a) = 7x2 + -4 (1 * p + a * p) = 7x2 + -4 Reorder the terms: (ap + 1p) = 7x2 + -4 (ap + 1p) = 7x2 + -4 Reorder the terms: ap + 1p = -4 + 7x2 Solving ap + 1p = -4 + 7x2 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-1p' to each side of the equation. ap + 1p + -1p = -4 + -1p + 7x2 Combine like terms: 1p + -1p = 0 ap + 0 = -4 + -1p + 7x2 ap = -4 + -1p + 7x2 Divide each side by 'p'. a = -4p-1 + -1 + 7p-1x2 Simplifying a = -4p-1 + -1 + 7p-1x2 Reorder the terms: a = -1 + -4p-1 + 7p-1x2
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