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Simplifying 3x3 + -10x2 = 25x Reorder the terms: -10x2 + 3x3 = 25x Solving -10x2 + 3x3 = 25x Solving for variable 'x'. Reorder the terms: -25x + -10x2 + 3x3 = 25x + -25x Combine like terms: 25x + -25x = 0 -25x + -10x2 + 3x3 = 0 Factor out the Greatest Common Factor (GCF), 'x'. x(-25 + -10x + 3x2) = 0 Factor a trinomial. x((-5 + -3x)(5 + -1x)) = 0Subproblem 1
Set the factor 'x' equal to zero and attempt to solve: Simplifying x = 0 Solving x = 0 Move all terms containing x to the left, all other terms to the right. Simplifying x = 0Subproblem 2
Set the factor '(-5 + -3x)' equal to zero and attempt to solve: Simplifying -5 + -3x = 0 Solving -5 + -3x = 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 + -3x = 0 + 5 Combine like terms: -5 + 5 = 0 0 + -3x = 0 + 5 -3x = 0 + 5 Combine like terms: 0 + 5 = 5 -3x = 5 Divide each side by '-3'. x = -1.666666667 Simplifying x = -1.666666667Subproblem 3
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 = 5Solution
x = {0, -1.666666667, 5}
| x(x+5)-5(x+5)= | | 10w^2-17+6=0 | | x^2+3x-2=6 | | 6+2p-5=9p+9-6p | | y=2x^2+3 | | 2k=3(k-1)+7 | | 3x^2-0=29 | | 21x^2+45x+54=0 | | 3x^2-29= | | 2x^2+3=101 | | -(2x-1)(3x+4)=0 | | 2(2x)(3a)= | | 2(j-5)=5(4j+1) | | 3x^2-28x-9=0 | | 160-7x=20x+16 | | 7-7x=99-35x | | d^2-10d+25=6 | | 30Y+20X=5 | | x^2+82x-2320=0 | | -3(3n+3)=12 | | 5x+7=113 | | 72=2x+(2w-10) | | 72=2x+(2w-5) | | 63=7x+2x+9 | | 72=2x+2w-5 | | 72=2x | | 4s-7=9 | | 12s-3=3 | | 13s-2=2 | | 9a-5=9 | | -26.3+0.1p=0.9p+5.3 | | 5.4y-7.5=2.22 |