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Simplifying m4 + -18m2 = -81 Reorder the terms: -18m2 + m4 = -81 Solving -18m2 + m4 = -81 Solving for variable 'm'. Reorder the terms: 81 + -18m2 + m4 = -81 + 81 Combine like terms: -81 + 81 = 0 81 + -18m2 + m4 = 0 Factor a trinomial. (9 + -1m2)(9 + -1m2) = 0 Factor a difference between two squares. ((3 + m)(3 + -1m))(9 + -1m2) = 0 Factor a difference between two squares. ((3 + m)(3 + -1m))(3 + m)(3 + -1m) = 0Subproblem 1
Set the factor '(3 + m)' equal to zero and attempt to solve: Simplifying 3 + m = 0 Solving 3 + m = 0 Move all terms containing m to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + m = 0 + -3 Combine like terms: 3 + -3 = 0 0 + m = 0 + -3 m = 0 + -3 Combine like terms: 0 + -3 = -3 m = -3 Simplifying m = -3Subproblem 2
Set the factor '(3 + -1m)' equal to zero and attempt to solve: Simplifying 3 + -1m = 0 Solving 3 + -1m = 0 Move all terms containing m to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -1m = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -1m = 0 + -3 -1m = 0 + -3 Combine like terms: 0 + -3 = -3 -1m = -3 Divide each side by '-1'. m = 3 Simplifying m = 3Subproblem 3
Set the factor '(3 + m)' equal to zero and attempt to solve: Simplifying 3 + m = 0 Solving 3 + m = 0 Move all terms containing m to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + m = 0 + -3 Combine like terms: 3 + -3 = 0 0 + m = 0 + -3 m = 0 + -3 Combine like terms: 0 + -3 = -3 m = -3 Simplifying m = -3Subproblem 4
Set the factor '(3 + -1m)' equal to zero and attempt to solve: Simplifying 3 + -1m = 0 Solving 3 + -1m = 0 Move all terms containing m to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -1m = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -1m = 0 + -3 -1m = 0 + -3 Combine like terms: 0 + -3 = -3 -1m = -3 Divide each side by '-1'. m = 3 Simplifying m = 3Solution
m = {-3, 3, -3, 3}
| 56/84=x/12 | | -72=94 | | 3/2x+4 | | 50+30x=40x | | 165=50+12m | | 10x-9x=x | | 5/16=15/y | | 3/8+5/7 | | 111=-3(6m+5) | | 7/10x+34=y | | 189/20-11/15 | | 0.002x+0.003=0.92 | | 2x+10x=13x | | 10+x/2=19 | | -3*5-7.4= | | 4x-2(7x-6)=92 | | 7/12+6/7 | | 5/6=30/y | | 5/6=30y | | 8(4-x)=7x+2 | | 4/7+1/2 | | x=-20.8/(-1.3) | | 0.02(x-300)+0.06x=68 | | 9/12=x/32 | | c-.25c=49.95 | | y=7/10x+34 | | 11/12+3/4 | | 2z^2=38 | | -112=-3(-6p+3)+5 | | 0.02(x-300)+0.06=68 | | 5/6+1/2 | | x=-20.8/1.3 |