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Simplifying 15x2 + -13xy + 2y2 = 0 Reorder the terms: -13xy + 15x2 + 2y2 = 0 Solving -13xy + 15x2 + 2y2 = 0 Solving for variable 'x'. Factor a trinomial. (3x + -2y)(5x + -1y) = 0Subproblem 1
Set the factor '(3x + -2y)' equal to zero and attempt to solve: Simplifying 3x + -2y = 0 Solving 3x + -2y = 0 Move all terms containing x to the left, all other terms to the right. Add '2y' to each side of the equation. 3x + -2y + 2y = 0 + 2y Combine like terms: -2y + 2y = 0 3x + 0 = 0 + 2y 3x = 0 + 2y Remove the zero: 3x = 2y Divide each side by '3'. x = 0.6666666667y Simplifying x = 0.6666666667ySubproblem 2
Set the factor '(5x + -1y)' equal to zero and attempt to solve: Simplifying 5x + -1y = 0 Solving 5x + -1y = 0 Move all terms containing x to the left, all other terms to the right. Add 'y' to each side of the equation. 5x + -1y + y = 0 + y Combine like terms: -1y + y = 0 5x + 0 = 0 + y 5x = 0 + y Remove the zero: 5x = y Divide each side by '5'. x = 0.2y Simplifying x = 0.2ySolution
x = {0.6666666667y, 0.2y}
| x^3-5x-1=0 | | -4(y+7)=y-7 | | -4(y+7)=y+7 | | 6x+1.2=8x+0.0 | | 2x+5=3x+15 | | 4k+3=-5k+21 | | 3y+2=1+2y | | 4x+1.4=3x+1.3 | | 5x-2=4-x | | 9x-2=2x-30 | | 6-5y=4y+15 | | 26x+96=16x-41 | | 12w-30=7w+19 | | 12x-28=28x-20 | | 16x^2-12x-7=0 | | -8x^2+3x+3=0 | | 5p+7=4p-1 | | 5(x-5)=3x-11 | | 12m+3=10m+16 | | 6y-5=y-20 | | 3x-10=5x+1 | | 3(4m+1)=2(5m+4) | | 6x-6=11x-11 | | 25-2(4x+2)=7x-6(4x-2) | | 3x-(2x+5)=12+5(x-1) | | 3x-(2x+5)=12+5(x+1) | | 4(2d-7)=32 | | 4y-6=2y-5 | | 3a-a=b+c | | 3x+5y-67=3 | | 2x^2-11=85 | | 3a=(a-b)+c |