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Step 6:Factor the quadratic into linear factors. Step 7:Set each linear factor equal to 0, and solve for {eq}x{/eq}. There will be at most two solutions. How to Solve Rational Equations with Factorable Quadratic Denominators that Simplify to Linear: Vocabulary...
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One of the trickiest concepts in algebra involves the manipulation of exponents, or powers. Many times, problems will require you to use the laws of exponents to simplify variables with exponents, or you will have to simplify an equation with exponents to solve it. To work with exponents, yo...
Rational expressions contain fractions with polynomials in both the numerator and the denominator. Solving rational expression equations requires more work than solving standard polynomial equations because you have to find the common denominator of the
In this lesson, you will learn how to solve two-step equations involving fractions step by step. You'll also see how this might be applied to the real world. Solving Equations with Fractions The main goal of solving two-step equations is to do the opposite of whatever you see until the...
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As our recurring digits are the same in both equations, we can subtract the lesser from the greater to cancel them out: 10𝓍 - 𝓍 = 6.666… - 0.6666… This gives us 9𝓍 = 6 Step 3: Solve for 𝒳 We now take 9𝓍 = 6 and divide both sides by 9 to find our fraction: ...