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Simplifying (y2 + -2x)(a + 5b) = 0 Reorder the terms: (-2x + y2)(a + 5b) = 0 Multiply (-2x + y2) * (a + 5b) (-2x * (a + 5b) + y2(a + 5b)) = 0 ((a * -2x + 5b * -2x) + y2(a + 5b)) = 0 ((-2ax + -10bx) + y2(a + 5b)) = 0 (-2ax + -10bx + (a * y2 + 5b * y2)) = 0 (-2ax + -10bx + (ay2 + 5by2)) = 0 Reorder the terms: (-2ax + ay2 + -10bx + 5by2) = 0 (-2ax + ay2 + -10bx + 5by2) = 0 Solving -2ax + ay2 + -10bx + 5by2 = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '10bx' to each side of the equation. -2ax + ay2 + -10bx + 10bx + 5by2 = 0 + 10bx Combine like terms: -10bx + 10bx = 0 -2ax + ay2 + 0 + 5by2 = 0 + 10bx -2ax + ay2 + 5by2 = 0 + 10bx Remove the zero: -2ax + ay2 + 5by2 = 10bx Add '-5by2' to each side of the equation. -2ax + ay2 + 5by2 + -5by2 = 10bx + -5by2 Combine like terms: 5by2 + -5by2 = 0 -2ax + ay2 + 0 = 10bx + -5by2 -2ax + ay2 = 10bx + -5by2 Reorder the terms: -2ax + ay2 + -10bx + 5by2 = 10bx + -10bx + -5by2 + 5by2 Combine like terms: 10bx + -10bx = 0 -2ax + ay2 + -10bx + 5by2 = 0 + -5by2 + 5by2 -2ax + ay2 + -10bx + 5by2 = -5by2 + 5by2 Combine like terms: -5by2 + 5by2 = 0 -2ax + ay2 + -10bx + 5by2 = 0 The solution to this equation could not be determined.
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