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Simplifying (-1x)(-1x) + 4x + -21 = -4x + x * x + 21 Remove parenthesis around (-1x) -1x(-1x) + 4x + -21 = -4x + x * x + 21 Remove parenthesis around (-1x) -1x * -1x + 4x + -21 = -4x + x * x + 21 Reorder the terms for easier multiplication: -1 * -1x * x + 4x + -21 = -4x + x * x + 21 Multiply -1 * -1 1x * x + 4x + -21 = -4x + x * x + 21 Multiply x * x 1x2 + 4x + -21 = -4x + x * x + 21 Reorder the terms: -21 + 4x + 1x2 = -4x + x * x + 21 Multiply x * x -21 + 4x + 1x2 = -4x + x2 + 21 Reorder the terms: -21 + 4x + 1x2 = 21 + -4x + x2 Solving -21 + 4x + 1x2 = 21 + -4x + x2 Solving for variable 'x'. Reorder the terms: -21 + -21 + 4x + 4x + 1x2 + -1x2 = 21 + -4x + x2 + -21 + 4x + -1x2 Combine like terms: -21 + -21 = -42 -42 + 4x + 4x + 1x2 + -1x2 = 21 + -4x + x2 + -21 + 4x + -1x2 Combine like terms: 4x + 4x = 8x -42 + 8x + 1x2 + -1x2 = 21 + -4x + x2 + -21 + 4x + -1x2 Combine like terms: 1x2 + -1x2 = 0 -42 + 8x + 0 = 21 + -4x + x2 + -21 + 4x + -1x2 -42 + 8x = 21 + -4x + x2 + -21 + 4x + -1x2 Reorder the terms: -42 + 8x = 21 + -21 + -4x + 4x + x2 + -1x2 Combine like terms: 21 + -21 = 0 -42 + 8x = 0 + -4x + 4x + x2 + -1x2 -42 + 8x = -4x + 4x + x2 + -1x2 Combine like terms: -4x + 4x = 0 -42 + 8x = 0 + x2 + -1x2 -42 + 8x = x2 + -1x2 Combine like terms: x2 + -1x2 = 0 -42 + 8x = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(-21 + 4x) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-21 + 4x)' equal to zero and attempt to solve: Simplifying -21 + 4x = 0 Solving -21 + 4x = 0 Move all terms containing x to the left, all other terms to the right. Add '21' to each side of the equation. -21 + 21 + 4x = 0 + 21 Combine like terms: -21 + 21 = 0 0 + 4x = 0 + 21 4x = 0 + 21 Combine like terms: 0 + 21 = 21 4x = 21 Divide each side by '4'. x = 5.25 Simplifying x = 5.25Solution
x = {5.25}
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