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Simplifying 28x3 + -7x = 15x Reorder the terms: -7x + 28x3 = 15x Solving -7x + 28x3 = 15x Solving for variable 'x'. Reorder the terms: -7x + -15x + 28x3 = 15x + -15x Combine like terms: -7x + -15x = -22x -22x + 28x3 = 15x + -15x Combine like terms: 15x + -15x = 0 -22x + 28x3 = 0 Factor out the Greatest Common Factor (GCF), '2x'. 2x(-11 + 14x2) = 0 Ignore the factor 2.Subproblem 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 '(-11 + 14x2)' equal to zero and attempt to solve: Simplifying -11 + 14x2 = 0 Solving -11 + 14x2 = 0 Move all terms containing x to the left, all other terms to the right. Add '11' to each side of the equation. -11 + 11 + 14x2 = 0 + 11 Combine like terms: -11 + 11 = 0 0 + 14x2 = 0 + 11 14x2 = 0 + 11 Combine like terms: 0 + 11 = 11 14x2 = 11 Divide each side by '14'. x2 = 0.7857142857 Simplifying x2 = 0.7857142857 Take the square root of each side: x = {-0.88640526, 0.88640526}Solution
x = {0, -0.88640526, 0.88640526}
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