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Simplifying 10w5(7 + -3w2) = 0 (7 * 10w5 + -3w2 * 10w5) = 0 (70w5 + -30w7) = 0 Solving 70w5 + -30w7 = 0 Solving for variable 'w'. Factor out the Greatest Common Factor (GCF), '10w5'. 10w5(7 + -3w2) = 0 Ignore the factor 10.Subproblem 1
Set the factor 'w5' equal to zero and attempt to solve: Simplifying w5 = 0 Solving w5 = 0 Move all terms containing w to the left, all other terms to the right. Simplifying w5 = 0 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Subproblem 2
Set the factor '(7 + -3w2)' equal to zero and attempt to solve: Simplifying 7 + -3w2 = 0 Solving 7 + -3w2 = 0 Move all terms containing w to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + -3w2 = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -3w2 = 0 + -7 -3w2 = 0 + -7 Combine like terms: 0 + -7 = -7 -3w2 = -7 Divide each side by '-3'. w2 = 2.333333333 Simplifying w2 = 2.333333333 Take the square root of each side: w = {-1.527525232, 1.527525232}Solution
w = {-1.527525232, 1.527525232}
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