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Simplifying 56x = 8x2 + 98 Reorder the terms: 56x = 98 + 8x2 Solving 56x = 98 + 8x2 Solving for variable 'x'. Reorder the terms: -98 + 56x + -8x2 = 98 + 8x2 + -98 + -8x2 Reorder the terms: -98 + 56x + -8x2 = 98 + -98 + 8x2 + -8x2 Combine like terms: 98 + -98 = 0 -98 + 56x + -8x2 = 0 + 8x2 + -8x2 -98 + 56x + -8x2 = 8x2 + -8x2 Combine like terms: 8x2 + -8x2 = 0 -98 + 56x + -8x2 = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(-49 + 28x + -4x2) = 0 Factor a trinomial. 2((-7 + 2x)(7 + -2x)) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-7 + 2x)' equal to zero and attempt to solve: Simplifying -7 + 2x = 0 Solving -7 + 2x = 0 Move all terms containing x to the left, all other terms to the right. Add '7' to each side of the equation. -7 + 7 + 2x = 0 + 7 Combine like terms: -7 + 7 = 0 0 + 2x = 0 + 7 2x = 0 + 7 Combine like terms: 0 + 7 = 7 2x = 7 Divide each side by '2'. x = 3.5 Simplifying x = 3.5Subproblem 2
Set the factor '(7 + -2x)' equal to zero and attempt to solve: Simplifying 7 + -2x = 0 Solving 7 + -2x = 0 Move all terms containing x to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + -2x = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -2x = 0 + -7 -2x = 0 + -7 Combine like terms: 0 + -7 = -7 -2x = -7 Divide each side by '-2'. x = 3.5 Simplifying x = 3.5Solution
x = {3.5, 3.5}
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