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Simplifying ((4x + -2)(4x + -2)) + -10(4x + -2) + 21 = 0 Reorder the terms: ((-2 + 4x)(4x + -2)) + -10(4x + -2) + 21 = 0 Reorder the terms: ((-2 + 4x)(-2 + 4x)) + -10(4x + -2) + 21 = 0 Multiply (-2 + 4x) * (-2 + 4x) ((-2(-2 + 4x) + 4x * (-2 + 4x))) + -10(4x + -2) + 21 = 0 (((-2 * -2 + 4x * -2) + 4x * (-2 + 4x))) + -10(4x + -2) + 21 = 0 (((4 + -8x) + 4x * (-2 + 4x))) + -10(4x + -2) + 21 = 0 ((4 + -8x + (-2 * 4x + 4x * 4x))) + -10(4x + -2) + 21 = 0 ((4 + -8x + (-8x + 16x2))) + -10(4x + -2) + 21 = 0 Combine like terms: -8x + -8x = -16x ((4 + -16x + 16x2)) + -10(4x + -2) + 21 = 0 (4 + -16x + 16x2) + -10(4x + -2) + 21 = 0 Remove parenthesis around (4 + -16x + 16x2) 4 + -16x + 16x2 + -10(4x + -2) + 21 = 0 Reorder the terms: 4 + -16x + 16x2 + -10(-2 + 4x) + 21 = 0 4 + -16x + 16x2 + (-2 * -10 + 4x * -10) + 21 = 0 4 + -16x + 16x2 + (20 + -40x) + 21 = 0 Reorder the terms: 4 + 20 + 21 + -16x + -40x + 16x2 = 0 Combine like terms: 4 + 20 = 24 24 + 21 + -16x + -40x + 16x2 = 0 Combine like terms: 24 + 21 = 45 45 + -16x + -40x + 16x2 = 0 Combine like terms: -16x + -40x = -56x 45 + -56x + 16x2 = 0 Solving 45 + -56x + 16x2 = 0 Solving for variable 'x'. Factor a trinomial. (5 + -4x)(9 + -4x) = 0Subproblem 1
Set the factor '(5 + -4x)' equal to zero and attempt to solve: Simplifying 5 + -4x = 0 Solving 5 + -4x = 0 Move all terms containing x to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + -4x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -4x = 0 + -5 -4x = 0 + -5 Combine like terms: 0 + -5 = -5 -4x = -5 Divide each side by '-4'. x = 1.25 Simplifying x = 1.25Subproblem 2
Set the factor '(9 + -4x)' equal to zero and attempt to solve: Simplifying 9 + -4x = 0 Solving 9 + -4x = 0 Move all terms containing x to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + -4x = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -4x = 0 + -9 -4x = 0 + -9 Combine like terms: 0 + -9 = -9 -4x = -9 Divide each side by '-4'. x = 2.25 Simplifying x = 2.25Solution
x = {1.25, 2.25}
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