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Simplifying 5x2 + -37x = 570 Reorder the terms: -37x + 5x2 = 570 Solving -37x + 5x2 = 570 Solving for variable 'x'. Reorder the terms: -570 + -37x + 5x2 = 570 + -570 Combine like terms: 570 + -570 = 0 -570 + -37x + 5x2 = 0 Factor a trinomial. (-38 + -5x)(15 + -1x) = 0Subproblem 1
Set the factor '(-38 + -5x)' equal to zero and attempt to solve: Simplifying -38 + -5x = 0 Solving -38 + -5x = 0 Move all terms containing x to the left, all other terms to the right. Add '38' to each side of the equation. -38 + 38 + -5x = 0 + 38 Combine like terms: -38 + 38 = 0 0 + -5x = 0 + 38 -5x = 0 + 38 Combine like terms: 0 + 38 = 38 -5x = 38 Divide each side by '-5'. x = -7.6 Simplifying x = -7.6Subproblem 2
Set the factor '(15 + -1x)' equal to zero and attempt to solve: Simplifying 15 + -1x = 0 Solving 15 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-15' to each side of the equation. 15 + -15 + -1x = 0 + -15 Combine like terms: 15 + -15 = 0 0 + -1x = 0 + -15 -1x = 0 + -15 Combine like terms: 0 + -15 = -15 -1x = -15 Divide each side by '-1'. x = 15 Simplifying x = 15Solution
x = {-7.6, 15}
| 18*1-3=25*1-10 | | 2*1+3=3*1+2 | | 8+5=2*8-3 | | 25x^2-37x=570 | | 2m-4(3m-2)=5(6+m) | | 6*4-2=5*4+2 | | 5*3.5=3*3.5+7 | | 6k-3(4-5k)=9 | | 7*1-2=3*1+2 | | 0.9y=27x | | h=7+23t-16t^2 | | 4n+3-7n=4 | | 5*2+9=8*2+3 | | h=7+23t-16x^2 | | 4*7=3*7+7 | | 12*10-10=10*10+10 | | 10k-5(k-1)=5 | | 3*10+55=7*10+15 | | 8*7+24=11*7+3 | | -5x^2+21x-4=0 | | 5*25-25=3*25+25 | | 2*50-10=3*50-60 | | 7z-5=9 | | 5*14-18=3*14+10 | | 5u+12=8(u+3) | | Z+30=-15 | | 9=5+x-25 | | 2x-18=36 | | 3*15+5=15+35 | | x+y+y=14 | | (3x+5)=x+35 | | x+0.04x=36 |