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Simplifying 4x2 = 8x + 21 Reorder the terms: 4x2 = 21 + 8x Solving 4x2 = 21 + 8x Solving for variable 'x'. Reorder the terms: -21 + -8x + 4x2 = 21 + 8x + -21 + -8x Reorder the terms: -21 + -8x + 4x2 = 21 + -21 + 8x + -8x Combine like terms: 21 + -21 = 0 -21 + -8x + 4x2 = 0 + 8x + -8x -21 + -8x + 4x2 = 8x + -8x Combine like terms: 8x + -8x = 0 -21 + -8x + 4x2 = 0 Factor a trinomial. (-3 + -2x)(7 + -2x) = 0Subproblem 1
Set the factor '(-3 + -2x)' equal to zero and attempt to solve: Simplifying -3 + -2x = 0 Solving -3 + -2x = 0 Move all terms containing x to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 3 + -2x = 0 + 3 Combine like terms: -3 + 3 = 0 0 + -2x = 0 + 3 -2x = 0 + 3 Combine like terms: 0 + 3 = 3 -2x = 3 Divide each side by '-2'. x = -1.5 Simplifying x = -1.5Subproblem 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 = {-1.5, 3.5}
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