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Simplifying 15a * 15a + ab + -6b * 6b + -2a * 2a + -5ab + -2a * 2a + 4ab + b * b = 0 Reorder the terms for easier multiplication: 15 * 15a * a + ab + -6b * 6b + -2a * 2a + -5ab + -2a * 2a + 4ab + b * b = 0 Multiply 15 * 15 225a * a + ab + -6b * 6b + -2a * 2a + -5ab + -2a * 2a + 4ab + b * b = 0 Multiply a * a 225a2 + ab + -6b * 6b + -2a * 2a + -5ab + -2a * 2a + 4ab + b * b = 0 Reorder the terms for easier multiplication: 225a2 + ab + -6 * 6b * b + -2a * 2a + -5ab + -2a * 2a + 4ab + b * b = 0 Multiply -6 * 6 225a2 + ab + -36b * b + -2a * 2a + -5ab + -2a * 2a + 4ab + b * b = 0 Multiply b * b 225a2 + ab + -36b2 + -2a * 2a + -5ab + -2a * 2a + 4ab + b * b = 0 Reorder the terms for easier multiplication: 225a2 + ab + -36b2 + -2 * 2a * a + -5ab + -2a * 2a + 4ab + b * b = 0 Multiply -2 * 2 225a2 + ab + -36b2 + -4a * a + -5ab + -2a * 2a + 4ab + b * b = 0 Multiply a * a 225a2 + ab + -36b2 + -4a2 + -5ab + -2a * 2a + 4ab + b * b = 0 Reorder the terms for easier multiplication: 225a2 + ab + -36b2 + -4a2 + -5ab + -2 * 2a * a + 4ab + b * b = 0 Multiply -2 * 2 225a2 + ab + -36b2 + -4a2 + -5ab + -4a * a + 4ab + b * b = 0 Multiply a * a 225a2 + ab + -36b2 + -4a2 + -5ab + -4a2 + 4ab + b * b = 0 Multiply b * b 225a2 + ab + -36b2 + -4a2 + -5ab + -4a2 + 4ab + b2 = 0 Reorder the terms: ab + -5ab + 4ab + 225a2 + -4a2 + -4a2 + -36b2 + b2 = 0 Combine like terms: ab + -5ab = -4ab -4ab + 4ab + 225a2 + -4a2 + -4a2 + -36b2 + b2 = 0 Combine like terms: -4ab + 4ab = 0 0 + 225a2 + -4a2 + -4a2 + -36b2 + b2 = 0 225a2 + -4a2 + -4a2 + -36b2 + b2 = 0 Combine like terms: 225a2 + -4a2 = 221a2 221a2 + -4a2 + -36b2 + b2 = 0 Combine like terms: 221a2 + -4a2 = 217a2 217a2 + -36b2 + b2 = 0 Combine like terms: -36b2 + b2 = -35b2 217a2 + -35b2 = 0 Solving 217a2 + -35b2 = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '35b2' to each side of the equation. 217a2 + -35b2 + 35b2 = 0 + 35b2 Combine like terms: -35b2 + 35b2 = 0 217a2 + 0 = 0 + 35b2 217a2 = 0 + 35b2 Remove the zero: 217a2 = 35b2 Divide each side by '217'. a2 = 0.1612903226b2 Simplifying a2 = 0.1612903226b2 Take the square root of each side: a = {-0.401609664b, 0.401609664b}
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