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Simplifying -63 = 4j(j + -8) Reorder the terms: -63 = 4j(-8 + j) -63 = (-8 * 4j + j * 4j) -63 = (-32j + 4j2) Solving -63 = -32j + 4j2 Solving for variable 'j'. Reorder the terms: -63 + 32j + -4j2 = -32j + 32j + 4j2 + -4j2 Combine like terms: -32j + 32j = 0 -63 + 32j + -4j2 = 0 + 4j2 + -4j2 -63 + 32j + -4j2 = 4j2 + -4j2 Combine like terms: 4j2 + -4j2 = 0 -63 + 32j + -4j2 = 0 Factor a trinomial. (-9 + 2j)(7 + -2j) = 0Subproblem 1
Set the factor '(-9 + 2j)' equal to zero and attempt to solve: Simplifying -9 + 2j = 0 Solving -9 + 2j = 0 Move all terms containing j to the left, all other terms to the right. Add '9' to each side of the equation. -9 + 9 + 2j = 0 + 9 Combine like terms: -9 + 9 = 0 0 + 2j = 0 + 9 2j = 0 + 9 Combine like terms: 0 + 9 = 9 2j = 9 Divide each side by '2'. j = 4.5 Simplifying j = 4.5Subproblem 2
Set the factor '(7 + -2j)' equal to zero and attempt to solve: Simplifying 7 + -2j = 0 Solving 7 + -2j = 0 Move all terms containing j to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + -2j = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -2j = 0 + -7 -2j = 0 + -7 Combine like terms: 0 + -7 = -7 -2j = -7 Divide each side by '-2'. j = 3.5 Simplifying j = 3.5Solution
j = {4.5, 3.5}
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