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Simplifying 2x2 = 10x + 12 Reorder the terms: 2x2 = 12 + 10x Solving 2x2 = 12 + 10x Solving for variable 'x'. Reorder the terms: -12 + -10x + 2x2 = 12 + 10x + -12 + -10x Reorder the terms: -12 + -10x + 2x2 = 12 + -12 + 10x + -10x Combine like terms: 12 + -12 = 0 -12 + -10x + 2x2 = 0 + 10x + -10x -12 + -10x + 2x2 = 10x + -10x Combine like terms: 10x + -10x = 0 -12 + -10x + 2x2 = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(-6 + -5x + x2) = 0 Factor a trinomial. 2((-1 + -1x)(6 + -1x)) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-1 + -1x)' equal to zero and attempt to solve: Simplifying -1 + -1x = 0 Solving -1 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + -1x = 0 + 1 Combine like terms: -1 + 1 = 0 0 + -1x = 0 + 1 -1x = 0 + 1 Combine like terms: 0 + 1 = 1 -1x = 1 Divide each side by '-1'. x = -1 Simplifying x = -1Subproblem 2
Set the factor '(6 + -1x)' equal to zero and attempt to solve: Simplifying 6 + -1x = 0 Solving 6 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + -1x = 0 + -6 Combine like terms: 6 + -6 = 0 0 + -1x = 0 + -6 -1x = 0 + -6 Combine like terms: 0 + -6 = -6 -1x = -6 Divide each side by '-1'. x = 6 Simplifying x = 6Solution
x = {-1, 6}
| x*2.62=x+y | | 3x+4-4=7-4 | | x+2.62=x+y | | (-3)s-4=29 | | 1.2+4(-1.2)=-6 | | -9y-4=14 | | (-3)s-4=39 | | 1.4=(1+x)5 | | 3-2r=9 | | 4+2s=3s-6+1 | | 8-8x^2=-792 | | 4h-3=-39 | | 10-3k=-(-3k-4) | | 5-8k=-19 | | 7(4-2x)-6x=40 | | q=11.2-0.04p | | -7m=119 | | 2x^3=128x | | -5n-6n=8-8n | | -8-0*-4= | | -1.2+4y=-6 | | 9+5z-4=9z+5-2z | | (8x+10)+(12x+40)= | | g=100+10Q | | 7y=11 | | F(r-2)=6(r-2)+2 | | 2t=11 | | 4r+5n^2-3r+9-2n-2= | | 3s=29 | | 18c-23=103 | | 33-13=4(x-7) | | 18c-23=104 |