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Simplifying x2 + -14x + -37 = -8x + 3 Reorder the terms: -37 + -14x + x2 = -8x + 3 Reorder the terms: -37 + -14x + x2 = 3 + -8x Solving -37 + -14x + x2 = 3 + -8x Solving for variable 'x'. Reorder the terms: -37 + -3 + -14x + 8x + x2 = 3 + -8x + -3 + 8x Combine like terms: -37 + -3 = -40 -40 + -14x + 8x + x2 = 3 + -8x + -3 + 8x Combine like terms: -14x + 8x = -6x -40 + -6x + x2 = 3 + -8x + -3 + 8x Reorder the terms: -40 + -6x + x2 = 3 + -3 + -8x + 8x Combine like terms: 3 + -3 = 0 -40 + -6x + x2 = 0 + -8x + 8x -40 + -6x + x2 = -8x + 8x Combine like terms: -8x + 8x = 0 -40 + -6x + x2 = 0 Factor a trinomial. (-4 + -1x)(10 + -1x) = 0Subproblem 1
Set the factor '(-4 + -1x)' equal to zero and attempt to solve: Simplifying -4 + -1x = 0 Solving -4 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 4 + -1x = 0 + 4 Combine like terms: -4 + 4 = 0 0 + -1x = 0 + 4 -1x = 0 + 4 Combine like terms: 0 + 4 = 4 -1x = 4 Divide each side by '-1'. x = -4 Simplifying x = -4Subproblem 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 = {-4, 10}
| 1+3(-4z+7)=(z-8)-4 | | 1/2r | | m/n=p/q | | -v-4=3v | | 4(2x+3)-(x-2)= | | 2y/3-y/4=15 | | 2x^2+16x+32=17 | | 90x^2+84x^9+105= | | 7(2x+3)=4(x-5)-17 | | -v+12= | | X^4-18x^2+18=o | | -x^2-2x+1=9 | | x+3+7x-9=82 | | 5(y+-7)+-2y=1+-3[(4y+7)+-2(y+-3)] | | 10r-r= | | 5x^2+26x+32=0 | | 3(4x-2y)+2(x+2y)= | | 2x+11=6x-5-4x | | 11x-3=2x+9 | | 4x/3+2=5 | | -35x+12=28x+19 | | 2x^2+3((-2x+13)/3)^2-35=0 | | A+B+B+B+80+9=100 | | 4=ln(y+4) | | 4x+28x-32=0 | | 4(x-6)-6=x-14 | | 6*3/7*3*1/3/1*2/7 | | 4=Ln(y+1) | | 11/5n=4n+20 | | 6x+8=6x-13 | | -13.00+2.00x= | | ProveA+B+B+B+80+90=100 |