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Simplifying 8x2 + -90x + 358 = 5x2 + -48x + 211 Reorder the terms: 358 + -90x + 8x2 = 5x2 + -48x + 211 Reorder the terms: 358 + -90x + 8x2 = 211 + -48x + 5x2 Solving 358 + -90x + 8x2 = 211 + -48x + 5x2 Solving for variable 'x'. Reorder the terms: 358 + -211 + -90x + 48x + 8x2 + -5x2 = 211 + -48x + 5x2 + -211 + 48x + -5x2 Combine like terms: 358 + -211 = 147 147 + -90x + 48x + 8x2 + -5x2 = 211 + -48x + 5x2 + -211 + 48x + -5x2 Combine like terms: -90x + 48x = -42x 147 + -42x + 8x2 + -5x2 = 211 + -48x + 5x2 + -211 + 48x + -5x2 Combine like terms: 8x2 + -5x2 = 3x2 147 + -42x + 3x2 = 211 + -48x + 5x2 + -211 + 48x + -5x2 Reorder the terms: 147 + -42x + 3x2 = 211 + -211 + -48x + 48x + 5x2 + -5x2 Combine like terms: 211 + -211 = 0 147 + -42x + 3x2 = 0 + -48x + 48x + 5x2 + -5x2 147 + -42x + 3x2 = -48x + 48x + 5x2 + -5x2 Combine like terms: -48x + 48x = 0 147 + -42x + 3x2 = 0 + 5x2 + -5x2 147 + -42x + 3x2 = 5x2 + -5x2 Combine like terms: 5x2 + -5x2 = 0 147 + -42x + 3x2 = 0 Factor out the Greatest Common Factor (GCF), '3'. 3(49 + -14x + x2) = 0 Factor a trinomial. 3((7 + -1x)(7 + -1x)) = 0 Ignore the factor 3.Subproblem 1
Set the factor '(7 + -1x)' equal to zero and attempt to solve: Simplifying 7 + -1x = 0 Solving 7 + -1x = 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 + -1x = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -1x = 0 + -7 -1x = 0 + -7 Combine like terms: 0 + -7 = -7 -1x = -7 Divide each side by '-1'. x = 7 Simplifying x = 7Subproblem 2
Set the factor '(7 + -1x)' equal to zero and attempt to solve: Simplifying 7 + -1x = 0 Solving 7 + -1x = 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 + -1x = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -1x = 0 + -7 -1x = 0 + -7 Combine like terms: 0 + -7 = -7 -1x = -7 Divide each side by '-1'. x = 7 Simplifying x = 7Solution
x = {7, 7}
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