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Simplifying x2 = 15x + -50 Reorder the terms: x2 = -50 + 15x Solving x2 = -50 + 15x Solving for variable 'x'. Reorder the terms: 50 + -15x + x2 = -50 + 15x + 50 + -15x Reorder the terms: 50 + -15x + x2 = -50 + 50 + 15x + -15x Combine like terms: -50 + 50 = 0 50 + -15x + x2 = 0 + 15x + -15x 50 + -15x + x2 = 15x + -15x Combine like terms: 15x + -15x = 0 50 + -15x + x2 = 0 Factor a trinomial. (5 + -1x)(10 + -1x) = 0Subproblem 1
Set the factor '(5 + -1x)' equal to zero and attempt to solve: Simplifying 5 + -1x = 0 Solving 5 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + -1x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -1x = 0 + -5 -1x = 0 + -5 Combine like terms: 0 + -5 = -5 -1x = -5 Divide each side by '-1'. x = 5 Simplifying x = 5Subproblem 2
Set the factor '(10 + -1x)' equal to zero and attempt to solve: Simplifying 10 + -1x = 0 Solving 10 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + -1x = 0 + -10 Combine like terms: 10 + -10 = 0 0 + -1x = 0 + -10 -1x = 0 + -10 Combine like terms: 0 + -10 = -10 -1x = -10 Divide each side by '-1'. x = 10 Simplifying x = 10Solution
x = {5, 10}
| 5-(-5)= | | -2-15= | | 5x-7=9x+13 | | 3x+7=118 | | (2x+6)(5x+4)= | | -45+(-5)= | | (5n+3)(2n-1)= | | (2x+5)=0 | | 12+6(z-2)=-3z+5 | | 24x=-56 | | 2c-16*4=7 | | (-1-3i)+2(4+6i)= | | 7x+3.5= | | 100x=34 | | 2(2x+1)+x=x+2x+18 | | 100m-49n= | | -16x=18 | | 2.03+6r*7=2.09 | | 4(5c+2)-12=18c+4 | | 22x=15 | | 11=80x | | -5(t+1)=5 | | 13=-3x | | x^4-x^2=12 | | 1=24x | | 11x+2-10x=-14 | | 4a^2-12a+9=4 | | 12x^3y-75xy^3= | | 5x-5y=-9 | | 2*(2x)+10=3x+13 | | -5x+2y=11 | | -10x=-10 |